Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively. Show SolutionThe require number when divides 285 and 1249, leaves remainder 9 and 7, this means 285 – 9 = 276 and 1249 – 7 = 1242 are completely divisible by the number ∴ The required number = HCF of 276 and 1242 By applying Euclid’s division lemma 1242 = 276 × 4 + 138 276 = 138 × 2 + 0 ∴ HCF = 138 Hence remainder is = 0 Hence required number is 138 Concept: Euclid’s Division Lemma Is there an error in this question or solution? APPEARS INIn order to find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 Nội dung chính
We get 285 – 9 = 276 1249 – 7 = 1242 So the required number = HCF of 276 and 1242 By resolving the required number into prime factors we get 276 = 2 × 2 × 3 × 23 1242 = 2 × 3 × 3 × 3 × 23 So the HCF of 276 and 1242 = 2 × 3 × 23 = 138 Therefore, the greatest number which divides 285 and 1249 leaving remainders 9 and 7 is 138. Announcement Thank you for your kind support for SnapSolve! We are terminating operations of SnapSolve on July 31, 2022. The personal data we collected will be deleted. We sincerely apologize for any inconvenience caused by these adjustments. If you have any questions or concerns, please feel free to contact our customer service through . FREE NCERT doubt solving & Exam Prep App SnapSolve is the choice of over 1M Indian students for doubt-solving & learning. How Can SnapSolve Help You? Get Solutions with a Simple Snap Snap a Picture of Your DoubtWhenever you face any doubt , open SnapSolve and scan it with your phone camera.Learn with SnapSolve Whenever you face any doubt, open SnapSolve and get an instant solution by simply taking a picture of it. Strengthen your knowledge by taking FREE chapter-wise quizzes. Check out detailed NCERT solutions of all problems. Watch FREE concept videos and get full knowledge of complex problems. Whenever you face any doubt, open SnapSolve and get an instant solution by simply taking a picture of it. Whenever you face any doubt, open SnapSolve and get an instant solution by simply taking a picture of it. Strengthen your knowledge by taking FREE chapter-wise quizzes. Check out detailed NCERT solutions of all problems. Watch FREE concept videos and get full knowledge of complex problems. Why SnapSolve? Free All study related content & features are absolutely FREE to access. Comprehensive We provide solutions and study materials for ALL subjects, boards, and grades. Efficient Solve doubts instantly, learn and practice together at the same time. Detailed Solution Step-by-step text and video solutions to crack all doubts. Learning Content Practice with our FREE mock tests, sample papers, and chapter quizzes to score high marks in exams. Subject Experts We have subject experts from IIT and other top institutions to develop premium learning content. Questions have been solved Students have chosen SnapSolve Let's Hear from Your Peers It is an amazing learning app, I can practice here anytime for free! I have now even improved a lot in math and physics with the help of this app . Thank you SnapSolve! Rahul · 1 month ago I was not able to study properly due to the pandemic, but SnapSolve helped me a lot so thank you for helping me! Aryan · 1 month ago It is the best doubt-solving app for any student. When I have doubt in any question, I just take the pic of that question and get video solution right away. Alisha · 1 month ago It is an amazing learning app, I can practice here anytime for free! I have now even improved a lot in math and physics with the help of this app . Thank you SnapSolve! Rahul · 1 month ago I was not able to study properly due to the pandemic, but SnapSolve helped me a lot so thank you for helping me! Aryan · 1 month ago It is the best doubt-solving app for any student. When I have doubt in any question, I just take the pic of that question and get video solution right away. Alisha · 1 month ago It is an amazing learning app, I can practice here anytime for free! I have now even improved a lot in math and physics with the help of this app . Thank you SnapSolve! Rahul · 1 month ago It is the best doubt-solving app for any student. When I have doubt in any question, I just take the pic of that question and get video solution right away. Alisha · 1 month ago 4.5 Review from Google Play What is the greatest number which divides 392?The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392 and factors of 201 are 1, 3, 67, 201. Therefore, the LCM of 392 and 201 is 78792 and Highest Common Factor (HCF) of 392 and 201 is 1. Example 3: Find if 1, 7, 8, 49, 98, 175 and 392 are factors of 392. What is the greatest number which divides 392 486 and 627 so as to leave the same remainder in each case?Answer: The required number is 47. What is the greatest number that divides 10 and 18?Therefore, the greatest common factor of 10 and 18 is 2. How do you find the greatest number divided by?To find the greatest number that divides the 2 numbers, we have to find H.C.F (Highest common factor). |
