Math, asked by snehlatapooniya, 9 months ago

find the higest commom factor of 576 and 1140​

Answers

Answered by sidmiphone
0

Answer:

Find the prime factorization of 1140

1140 = 2 × 2 × 3 × 5 × 19

Find the prime factorization of 576

576 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3

To find the hcf, multiply all the prime factors common to both numbers:

Therefore, HCF = 2 × 2 × 3

HCF = 12

Answered by hardik3332
0

Answer:

Decompose all numbers into prime factors

576 2 288 2 144 2 72 2 36 2 18 2 9 3 3 3 1 1140 2 570 2 285 3 95 5 19 19 1

2. Write all numbers as the product of its prime factors

Prime factors of 576 = 26 . 32

Prime factors of 1140 = 22 . 3 . 5 . 19

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3

Common prime factors with the lowest exponent: 22, 31

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

GCF = 22. 31 = 12

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