Question

find the greatest number which divides 45,77and 117 leaving 5 as remainder in each case​

Answer 1

Answer:

Look at the common differences:

⇒ 147−77=70

⇒ 252−147=105

⇒ Now, we have to find H.C.F of 70 and 105

⇒ 70=2×5×7

⇒ 105=3×5×7

⇒ Common factor =7×5=35

∴ The greatest number which divides 77,147 and 252 leaving the same remainder in each case is 35.