Find the greatest number that divides 113 and 86 leaving 5 as remainder
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Answer:
dast number is 133 are divided
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Given : number that divides 113 and 86 leaving 5 as remainder
To Find : greatest number
Solution:
number that divides 113 and 86 leaving 5 as remainder
Greatest number = HCF ( 113 - 5 , 86 - 5)
= HCF (108 , 81)
81 = 3 * 3 * 3 * 3
108 = 3 * 3 * 3 * 4
HCF = 3 * 3 * 3 = 27
27 is the greatest number that divides 113 and 86 leaving 5 as remainder
27 * 4 + 5 = 113
27 * 3 + 5 = 86
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