Question

the greatest number than ca divide 140 176 and 264 leaving remainder of 4 6 and 9 respectively​

Answer 1

The required greatest number=H.C.F of (148−4),(246−6),(623−11)

= H.C.F of 144,240,612

Here, the HCF of 144,240,and612 is

2 144 240 612

2 72 120 306

3

36 60 153

12 20 51

H.C.F=2×2×3=12

∴ The required number is 12.