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# H.C.F. & L.C.M.

1.

Rajesh had to arrange his books in uniform groups. He makes groups of 4 books each. But 3 books are left. He tries it with groups of 5 books each. But still 3 books are left. 3 books are still left when he tried with groups of 9 or 10 books each. How many books does he have?

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2.

What is HCF of  36/75, 48/150 , 72/135?

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3.

3 birds fly along the circumference of a jungle. They complete one round in 27 minutes, 45 minutes and 63 minutes respectively. Since they start together, when will they meet again at the starting position?

We need the instance which means the LCM of times of all 3 birds.

Therefore, LCM = 9 X 3 X 5 X 7 = 945 = 945 minutes

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4.

The L.C.M. of two numbers is 14560 and their H.C.F. is 13. If one of them is 416, the other is

416 X number = 14560 X 13

Therefore, numbr is 455

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5.

The sum and HCF of two numbers are 156 and 13. The numbers of such number pairs is