Question

Find HCF AND LCM OF 26 and 91and verify that LCM ×HCF=product of the two numbers

Answer 1

lovingheart Ambitious

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

HOPE IT WILL HELP...

Answer 2

hey mate

26 = 2*13

91 = 7*13

L. C. M= 2*7*13= 182

H. C. F = 13

L. C. M. *H. C. F. = 13*182=2366

26*91 =2366

so, 26*91= L. C. M*H.C.F