Question

Find the greatest number that will divide 55,75,113 leaving the remainder 7,3,5 respectively

Answer 1

Step-by-step explanation:

Given: 55,75,113

To find:Find the greatest number that will divide 55,75,113 leaving the remainder 7,3,5 respectively.

Solution:

Step1: Subtract 7,3 and 5 from given numbers

55-7=48

75-3=72

113-5=108

Step 2: Take HCF of 48,72 and 108 by prime factorisation

48=2×2×2×2×3

72=2×2×2×3×3

108=2×2×3×3×3

HCF(48,72,108)=2×2×3

HCF(48,72,108)=12

Final answer:

The greatest number is 12 that will divide 55,75,113 leaving the remainder 7,3,5 respectively.

Hope it helps you.

To learn more on brainly:

Find the greatest number that divides 79,115 and 163, leaving remainder 7 in each case

https://brainly.in/question/46000202