Question

3. Find the largest number that will divide 113, 135 and 160 leaving remainders 5, 3 and 4, respectively.​

Answer 1

Answer:

Step-by-step explanation:113 divided by the number leave 5 as remainder. so , the number divides 113 - 5 = 108 exactly

135 divided by the number leave 3 as remainder . so, the number divides 135 - 3 =132 exactly

160 divided by the number leave 4 as remainder. so, the number divides 160 - 4 =156

The greatest number that will divide 108 ,132 and 156 exactly is their HCF

108 = 2×2×3×3×3

132 =2×2×3×11

156 =2×2×3×13

HCF =2×2× 3

= 12

Answer 2

Step-by-step explanation:

113 divided by the number leave 5 as reminder.So ,the number divides 113-5 =108 exactly

135 divided by the number leave 3 as reminder.So, the number divides 135-3 = 132 exactly

160 divided by the number leave 4 as reminder.SO ,the number divides 160-4 =156

The greatest number that will divide 108,132 and 156 exactly is there HCF

108=2×2×3×3×3

132=2×2×3×11

156=2×2×3×11

HCF=2×2×3

=12