How to Find GCF of 8131/538, 6795/1753?

GCF of 8131/538, 6795/1753

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 8131/538, 6795/1753 i.e 1/943114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8131/538, 6795/1753.

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 8131/538,6795/1753?

Given fractions are 8131/538,6795/1753

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 8131/538,6795/1753, numerators are 8131,6795

Denominators are 538,1753

The GCF of 8131,6795 is 1 .

LCM of 538,1753 is 943114.

The greatest common factor of 8131/538,6795/1753 = [GCF of 8131,6795]/[LCM of 538,1753]= 1/943114

Therefore, the GCF of 8131/538,6795/1753 is 1/943114.

Greatest Common Factor of 8131,6795

To find the highest common factor of 8131,6795, we have to find the factors of both numbers and list the highest common factor.

The factors of 8131 are 1, 47, 173, 8131

The factors of 6795 are 1, 3, 5, 9, 15, 45, 151, 453, 755, 1359, 2265, 6795

The HCF of 8131,6795 is 1.

Lets's calculate GCF of 8131,6795

Greatest Common Factor (GCF) of 8131,6795 By Common Division

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

Greatest Common Factor of 8131,6795 By Matching Biggest Common Factor Method

Now, list down the factors of 8131

1,47,173,8131

Now, list down the factors of 6795

1,3,5,9,15,45,151,453,755,1359,2265,6795

Greatest Common Factor

We found the factors 8131,6795 . The biggest common factor number is the GCF number.
So the greatest common factor 8131,6795 is 1.

Lets's calculate LCM of 538,1753

Lowest Common Multiple of 538,1753 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 943114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/943114

Therefore, the GCF of Fractions 8131/538,6795/1753 is 1/943114

Least Common Multiple of 538,1753 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 538,1753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,1753) = 1

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

GCF(538,1753) x common factors =1 x 1 = 1

LCM(538,1753) = ( 538 × 1753 ) / 1

LCM(538,1753) = 943114 / 1

LCM(538,1753) = 943114

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FAQs on GCF of Fractions of 8131/538, 6795/1753

1. What is the HCF of 8131,6795?

The HCF of 8131,6795 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 8131/538, 6795/1753?

Answer: GCF of Numerators as per given numbers 8131/538, 6795/1753 is

GCF of Numerators i.e. for 8131,6795 is 1

LCM of denominators i.e. for 538,1753 is 943114.

Thus, GCF of Fractions is 1/943114.Finally, GCF of Fractions for 8131/538, 6795/1753 is 1/943114.