Question

find the biggest number that divides 77 and 88 and 103 leaving remainder 7 and 4 and 5 respectively and reminder

Answer 1

If the number divides 77 and leave remainder 7, 77 - 7 = 70 is a multiple of the number.

If the number divides 88 and leave remainder 4, 88 - 4 = 84 is a multiple of the number.

If the number divides 103 and leave remainder 5, 103 - 5 = 98 is a multiple of the number.

Let's find the HCF of 70, 84 and 98.

2 | 70, 84, 98

7 | 35, 42, 49

| 5, 6, 7

HCF = 2 x 7 = 14

∴ 14 is the biggest number which divides them to leave the given remainders respectively.

Hope this may be helpful.

Please mark my answer as the brainliest if this may be helpful.

Thank you. Have a nice day.