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1. Find the greatest number which divides 64 and 80 completely. 2. Find the least number which when dividad h

1. Find the greatest number which divides 64 and 80 completely. 2. Find the least number which when dividad h

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Find the greatest number which divides 64 and 80 completely. 2. Find the least number which when divided by 24, 36 and 48 leaves remainder 8 in each case. 3. Find the smallest number exactly divisible by 10, 14 and 18. 4. Find the smallest number which when divided by 12 and 18 leaves remainder 3 in each case. 5. Find the greatest number that will divide 63, 35 and77 leaving remainder 7 in each case. 6. Find the smallest number which is 8 less than a common multiple of 57,76 and 190. 7. Find the least number of chocolates a teacher should have so that when he distributes to 10, 15 and 25 students equally, no chocolate is left. 8. In which condition, the LCM of two numbers is one of the numbers? Give an example. 9. In which condition, the HCF of two numbers is one of them? Give an example. 10. Find the least number which when increased by 9 is exactly divisible by 10, 12, 15 and 24. 53 FACTORS AND MULTIPLES
Transcribed Image Text:1. Find the greatest number which divides 64 and 80 completely. 2. Find the least number which when divided by 24, 36 and 48 leaves remainder 8 in each case. 3. Find the smallest number exactly divisible by 10, 14 and 18. 4. Find the smallest number which when divided by 12 and 18 leaves remainder 3 in each case. 5. Find the greatest number that will divide 63, 35 and77 leaving remainder 7 in each case. 6. Find the smallest number which is 8 less than a common multiple of 57,76 and 190. 7. Find the least number of chocolates a teacher should have so that when he distributes to 10, 15 and 25 students equally, no chocolate is left. 8. In which condition, the LCM of two numbers is one of the numbers? Give an example. 9. In which condition, the HCF of two numbers is one of them? Give an example. 10. Find the least number which when increased by 9 is exactly divisible by 10, 12, 15 and 24. 53 FACTORS AND MULTIPLES
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