Question

Find the greatest number which divides 284, 678 and 1618 leaves the same remainder in each case.

Answer 1

Answer:

Correct option is

A

35

The greatest number which when divides 253,568 and 813 leaves the same remainder each time

→ HCF of (568−253),(813−568),(813−253)= HCF of 315,245 and 560

Prime factorisation of 315,245 and 560 is,

315=3×3×5×7

245=7×7×5

560=2×2×2×2×5×7

Therefore HCF of 315,245 and 560 is 5×7=35.

The greatest number which when divides 253,568 and 813 leaves the same remainder each time is 35 and the remainder obtained in each case is 8.

Answer 2

Answer:

2

Step-by-step explanation:

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