Question

use fundamental theorem of arithmatic method to find the HCF and LCM of i) 570 and 1425 ii) 26676 and 337554

Answer 1

HEY DEAR ... ✌

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THE METHOD IS BELOW I HAVE SOLVED THE 2ND QUESTION . BY THAT UH CAN BE ABLE TO SOLVE 1ST QUESTION.

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write the given numbers into product of prime.

i ) 26676 = 2 × 2 × 3 × 3 × 3 ×13 ×19

               = 2² × 3³ × 13 ×19

ii ) 337554 = 2 ×3 × 3 × 3 × 7 × 19 × 47

                  = 2 × 3³ × 7 × 19 × 47

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HCF : 

The HCF of two positive integers is defined as the product of the

 smallest power of each common prime factor in the numbers.

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Now HCF ( 26626 , 337554 ) = 2 × 3³

                                               = 2 × 27

                                               = 54

Therefore required HCF = 54


HOPE , IT HELPS ... ✌