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GCF of 3981/534, 6329/7172

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 3981/534, 6329/7172 i.e 1/1914924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3981/534, 6329/7172.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 3981/534,6329/7172?

Given fractions are 3981/534,6329/7172

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 3981/534,6329/7172, numerators are 3981,6329

Denominators are 534,7172

The GCF of 3981,6329 is 1 .

LCM of 534,7172 is 1914924.

The greatest common factor of 3981/534,6329/7172 = [GCF of 3981,6329]/[LCM of 534,7172]= 1/1914924

Therefore, the GCF of 3981/534,6329/7172 is 1/1914924.

Greatest Common Factor of 3981,6329

To find the highest common factor of 3981,6329, we have to find the factors of both numbers and list the highest common factor.

The factors of 3981 are 1, 3, 1327, 3981

The factors of 6329 are 1, 6329

The HCF of 3981,6329 is 1.

Lets's calculate GCF of 3981,6329

Greatest Common Factor (GCF) of 3981,6329 By Common Division

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

Greatest Common Factor of 3981,6329 By Matching Biggest Common Factor Method

Greatest Common Factor of 3981,6329 By Matching Biggest Common Factor Method

Now, list down the factors of 3981

:

1,3,1327,3981

Now, list down the factors of 6329

:

1,6329

Greatest Common Factor

We found the factors 3981,6329 . The biggest common factor number is the GCF number.
So the greatest common factor 3981,6329 is 1.

Lets's calculate LCM of 534,7172

Lowest Common Multiple of 534,7172 using Common Division

2 534, 7172
267, 3586

∴ So the LCM of the given numbers is 2 x 267 x 3586 = 1914924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1914924

Therefore, the GCF of Fractions 3981/534,6329/7172 is 1/1914924

Least Common Multiple of 534,7172 with GCF Formula

Least Common Multiple of 534,7172 with GCF Formula

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

We need to calculate greatest common factor of 534,7172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,7172) = 2

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

GCF(534,7172) x common factors =2 x 1 = 2

LCM(534,7172) = ( 534 × 7172 ) / 2

LCM(534,7172) = 3829848 / 2

LCM(534,7172) = 1914924


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FAQs on GCF of Fractions of 3981/534, 6329/7172

1. What is the HCF of 3981,6329?

The HCF of 3981,6329 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 3981/534, 6329/7172?

Answer: GCF of Numerators as per given numbers 3981/534, 6329/7172 is

GCF of Numerators i.e. for 3981,6329 is 1

LCM of denominators i.e. for 534,7172 is 1914924.

Thus, GCF of Fractions is 1/1914924.Finally, GCF of Fractions for 3981/534, 6329/7172 is 1/1914924.