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CBSE Class 10 Answered

  If the HCF of 65 and 117 is expressible in the form 65m - 117, then the value of m is Please explain
Asked by tinfdes | 15 Mar, 2021, 11:10: PM
answered-by-expert Expert Answer
Prime factorisation of 65 and 117 is as follows:
 
65 = 13 × 5   and  117 = 3 × 3 ×13

HCF(65, 117) = 13
 
65m - 117 = 13  ....given
→ 65m = 130
→     m = 2




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