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Find the greatest number which divides 2...

Find the greatest number which divides 285 and 1249 leaving remainders 9 and 7 respectively.

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The largest or greatest among common divisors of two or more integers is called the Greatest Common Divisor (GCD) or Highest Common Factor (H.C.F.) The largest number which divides 285 and 1249 leaving remainders 9 and 7 respectively, is

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RD SHARMA-PLAYING WITH NUMBERS-All Questions
  1. Reduce (289)/(391) to the lowest terms.

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  2. Find the largest number which divides 615 and 963 leaving remainder...

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  3. Find the greatest number which divides 285 and 1249 leaving remainders...

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  4. What is the largest number that divides 626, 3127 and 15628 and lea...

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  5. The length, breadth and height of a room are 825 cm, 675 cm and 450...

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  6. A rectangular hall is 18 m 72 cm long and 13 m 20 cm broad. It can be ...

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  7. The greatest possible length which can be used to measure exactly t...

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  8. 105 goats, 140 donkeys and 175 cows have to be taken across a river...

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  9. Two brands of chocolates are available in packs of 24 and 15 respec...

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  10. During a sale, colour pencils were being sold in packs of 24 each a...

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  11. Reduce each of the following fractions to the lowest terms: (161)/(...

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  12. A merchant has 120 litres of oil of one kind, 180 litres of another ...

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  13. Find the L.C.M. of 40, 36, and 126 by prime factorization method.

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  14. Find the L.C.M. of  84, 90 and 120 by prime factorization method.

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  15. Determine the L.C.M. of 624 and 936 by division method.

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  16. Find the L.C.M. of 112, 140 and 168 by division method.

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  17. Find the L.C.M. of 75, 250, 225 and 525 by division method.

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  18. Determine the L.C.M. of the numbers given below: 48, 60

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  19. Determine the L.C.M. of the numbers given below: 28, 36, 45, 60

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  20. Determine the lowest natural number which when divided by 16, 28, 4...

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