How to Find GCF of 9413/656, 9442/728?

GCF of 9413/656, 9442/728

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9413/656, 9442/728 i.e 1/59696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9413/656, 9442/728.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9413/656,9442/728?

Given fractions are 9413/656,9442/728

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9413/656,9442/728, numerators are 9413,9442

Denominators are 656,728

The GCF of 9413,9442 is 1 .

LCM of 656,728 is 59696.

The greatest common factor of 9413/656,9442/728 = [GCF of 9413,9442]/[LCM of 656,728]= 1/59696

Therefore, the GCF of 9413/656,9442/728 is 1/59696.

Greatest Common Factor of 9413,9442

To find the highest common factor of 9413,9442, we have to find the factors of both numbers and list the highest common factor.

The factors of 9413 are 1, 9413

The factors of 9442 are 1, 2, 4721, 9442

The HCF of 9413,9442 is 1.

Lets's calculate GCF of 9413,9442

Greatest Common Factor (GCF) of 9413,9442 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9413,9442 By Matching Biggest Common Factor Method

Now, list down the factors of 9413

1,9413

Now, list down the factors of 9442

1,2,4721,9442

Greatest Common Factor

We found the factors 9413,9442 . The biggest common factor number is the GCF number.
So the greatest common factor 9413,9442 is 1.

Lets's calculate LCM of 656,728

Lowest Common Multiple of 656,728 using Common Division

2	656, 728
2	328, 364
2	164, 182
	82, 91

∴ So the LCM of the given numbers is 2 x 2 x 2 x 82 x 91 = 59696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59696

Therefore, the GCF of Fractions 9413/656,9442/728 is 1/59696

Least Common Multiple of 656,728 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 656,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,728) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(656,728) x common factors =8 x 1 = 8

LCM(656,728) = ( 656 × 728 ) / 8

LCM(656,728) = 477568 / 8

LCM(656,728) = 59696

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FAQs on GCF of Fractions of 9413/656, 9442/728

1. What is the HCF of 9413,9442?

The HCF of 9413,9442 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 9413/656, 9442/728?

Answer: GCF of Numerators as per given numbers 9413/656, 9442/728 is

GCF of Numerators i.e. for 9413,9442 is 1

LCM of denominators i.e. for 656,728 is 59696.

Thus, GCF of Fractions is 1/59696.Finally, GCF of Fractions for 9413/656, 9442/728 is 1/59696.