How to Find GCF of 5356/191, 2938/892?

GCF of 5356/191, 2938/892

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 5356/191, 2938/892 i.e 26/170372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5356/191, 2938/892.

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 5356/191,2938/892?

Given fractions are 5356/191,2938/892

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 5356/191,2938/892, numerators are 5356,2938

Denominators are 191,892

The GCF of 5356,2938 is 26 .

LCM of 191,892 is 170372.

The greatest common factor of 5356/191,2938/892 = [GCF of 5356,2938]/[LCM of 191,892]= 26/170372

Therefore, the GCF of 5356/191,2938/892 is 26/170372.

Greatest Common Factor of 5356,2938

To find the highest common factor of 5356,2938, we have to find the factors of both numbers and list the highest common factor.

The factors of 5356 are 1, 2, 4, 13, 26, 52, 103, 206, 412, 1339, 2678, 5356

The factors of 2938 are 1, 2, 13, 26, 113, 226, 1469, 2938

The HCF of 5356,2938 is 26.

Lets's calculate GCF of 5356,2938

Greatest Common Factor (GCF) of 5356,2938 By Common Division

2	5356, 2938
13	2678, 1469
	206, 113

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 5356,2938 By Matching Biggest Common Factor Method

Now, list down the factors of 5356

1,2,4,13,26,52,103,206,412,1339,2678,5356

Now, list down the factors of 2938

1,2,13,26,113,226,1469,2938

Greatest Common Factor

We found the factors 5356,2938 . The biggest common factor number is the GCF number.
So the greatest common factor 5356,2938 is 26.

Lets's calculate LCM of 191,892

Lowest Common Multiple of 191,892 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 170372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/170372

Therefore, the GCF of Fractions 5356/191,2938/892 is 26/170372

Least Common Multiple of 191,892 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 191,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(191,892) = 1

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

GCF(191,892) x common factors =1 x 1 = 1

LCM(191,892) = ( 191 × 892 ) / 1

LCM(191,892) = 170372 / 1

LCM(191,892) = 170372

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FAQs on GCF of Fractions of 5356/191, 2938/892

1. What is the HCF of 5356,2938?

The HCF of 5356,2938 is 26

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 5356/191, 2938/892?

Answer: GCF of Numerators as per given numbers 5356/191, 2938/892 is

GCF of Numerators i.e. for 5356,2938 is 26

LCM of denominators i.e. for 191,892 is 170372.

Thus, GCF of Fractions is 26/170372.Finally, GCF of Fractions for 5356/191, 2938/892 is 26/170372.