Question

find the LCM and HCF of following pairs of integers and verify that LCM into HCF equal to product of the integers 26 and 91​

Answer 1

Answer:

For HCF of 26 and 91,  

26 ) 91 ( 3

       -78

         13 ) 26 ( 2

       -26

         0  

∴HCF of 26 and 91=13

For LCM of 26 and 91,

  2 | 26, 91

  7 | 13, 91

 13| 13, 13

        1,  1  

∴LCM of 26 and 91=2 × 7 × 13=182

Required to Prove:

(HCF of 26, 91) × (LCM of 26,91) = Product of 26 and 91.

    L.H.S        R.H.S

L.H.S -> (HCF of 26, 91) × (LCM of 26,91) = 13 × 182 = 2366

R.H.S -> Product of 26 and 91 = 26 × 91 = 2366

Hence, L.H.S = R.H.S

I hope i will help you

Answer 2

Answer:

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