Question

Using the method of fundamental theorem of arithmetic find the HCF of 324 and 594

Answer 1

Hi there !!

Fundamental theorem of arithmetic:

Every composite number can be expressed as a product of primes, and this factorisation is unique except for the order in which the prime factors occur.

H.C.F of 324 and 594

324= 2².3⁴

594 =2.3³.11

Lowest power = 2×3³

=54

Thankyou :)

Answer 2

HCF of 324 and 594 is 54.

Step-by-step explanation:

Given : Numbers 324 and 594.

To find : Using the method of fundamental theorem of arithmetic find the HCF of numbers ?

Solution :

Factorizing the numbers,

$324=2\times2\times3\times3\times 3\times 3$

$594=2\times3\times3\times3\times 11$

HCF is the highest common factor,

$HCF(324,594)=2\times 3\times 3\times 3$

$HCF(324,594)=54$

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