Question

find the hcf of 26 and 91 by prime factorisation​

Answer 1

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Answer 2

Given:-

• 1st no. (a) = 26

• 2nd no. (b) = 91

To find:-

• HCF by prime factorisation

Solution:-

★ Factor of:

• 26 = 2 × 13

• 91 = 7 × 13

Therefore, the HCF 26 and 91 is 13.

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Additional Information:-

★ LCM of 26 and 91:

• LCM ( 13,91 ) = 2 × 7 × 13 = 182

Therefore, The LCM of 26 and 91 is 182.

★ Relationship b/w LCM and HCF:-

From this, we can verify our answer:-

Product of numbers ( a × b ) = LCM × HCF

26 × 91 = 13 × 182

2366 = 2366

Hence, Verified!!

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