How to Find GCF of 6572/981, 4059/1744?

GCF of 6572/981, 4059/1744

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 6572/981, 4059/1744 i.e 1/15696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6572/981, 4059/1744.

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 6572/981,4059/1744?

Given fractions are 6572/981,4059/1744

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 6572/981,4059/1744, numerators are 6572,4059

Denominators are 981,1744

The GCF of 6572,4059 is 1 .

LCM of 981,1744 is 15696.

The greatest common factor of 6572/981,4059/1744 = [GCF of 6572,4059]/[LCM of 981,1744]= 1/15696

Therefore, the GCF of 6572/981,4059/1744 is 1/15696.

Greatest Common Factor of 6572,4059

To find the highest common factor of 6572,4059, we have to find the factors of both numbers and list the highest common factor.

The factors of 6572 are 1, 2, 4, 31, 53, 62, 106, 124, 212, 1643, 3286, 6572

The factors of 4059 are 1, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353, 4059

The HCF of 6572,4059 is 1.

Lets's calculate GCF of 6572,4059

Greatest Common Factor (GCF) of 6572,4059 By Common Division

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

Greatest Common Factor of 6572,4059 By Matching Biggest Common Factor Method

Now, list down the factors of 6572

1,2,4,31,53,62,106,124,212,1643,3286,6572

Now, list down the factors of 4059

1,3,9,11,33,41,99,123,369,451,1353,4059

Greatest Common Factor

We found the factors 6572,4059 . The biggest common factor number is the GCF number.
So the greatest common factor 6572,4059 is 1.

Lets's calculate LCM of 981,1744

Lowest Common Multiple of 981,1744 using Common Division

109	981, 1744
	9, 16

∴ So the LCM of the given numbers is 109 x 9 x 16 = 15696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15696

Therefore, the GCF of Fractions 6572/981,4059/1744 is 1/15696

Least Common Multiple of 981,1744 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 981,1744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,1744) = 109

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

GCF(981,1744) x common factors =109 x 1 = 109

LCM(981,1744) = ( 981 × 1744 ) / 109

LCM(981,1744) = 1710864 / 109

LCM(981,1744) = 15696

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6572/981, 4059/1744

1. What is the HCF of 6572,4059?

The HCF of 6572,4059 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 6572/981, 4059/1744?

Answer: GCF of Numerators as per given numbers 6572/981, 4059/1744 is

GCF of Numerators i.e. for 6572,4059 is 1

LCM of denominators i.e. for 981,1744 is 15696.

Thus, GCF of Fractions is 1/15696.Finally, GCF of Fractions for 6572/981, 4059/1744 is 1/15696.