Find the largest number that will divide 113 135 160 leaving remainder 5 3 &4 respectively
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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
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