How to Find GCF of 7519/436, 6961/3164?

GCF of 7519/436, 6961/3164

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 7519/436, 6961/3164 i.e 1/344876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7519/436, 6961/3164.

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 7519/436,6961/3164?

Given fractions are 7519/436,6961/3164

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 7519/436,6961/3164, numerators are 7519,6961

Denominators are 436,3164

The GCF of 7519,6961 is 1 .

LCM of 436,3164 is 344876.

The greatest common factor of 7519/436,6961/3164 = [GCF of 7519,6961]/[LCM of 436,3164]= 1/344876

Therefore, the GCF of 7519/436,6961/3164 is 1/344876.

Greatest Common Factor of 7519,6961

To find the highest common factor of 7519,6961, we have to find the factors of both numbers and list the highest common factor.

The factors of 7519 are 1, 73, 103, 7519

The factors of 6961 are 1, 6961

The HCF of 7519,6961 is 1.

Lets's calculate GCF of 7519,6961

Greatest Common Factor (GCF) of 7519,6961 By Common Division

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

Greatest Common Factor of 7519,6961 By Matching Biggest Common Factor Method

Now, list down the factors of 7519

1,73,103,7519

Now, list down the factors of 6961

1,6961

Greatest Common Factor

We found the factors 7519,6961 . The biggest common factor number is the GCF number.
So the greatest common factor 7519,6961 is 1.

Lets's calculate LCM of 436,3164

Lowest Common Multiple of 436,3164 using Common Division

2	436, 3164
2	218, 1582
	109, 791

∴ So the LCM of the given numbers is 2 x 2 x 109 x 791 = 344876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344876

Therefore, the GCF of Fractions 7519/436,6961/3164 is 1/344876

Least Common Multiple of 436,3164 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 436,3164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,3164) = 4

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

GCF(436,3164) x common factors =4 x 1 = 4

LCM(436,3164) = ( 436 × 3164 ) / 4

LCM(436,3164) = 1379504 / 4

LCM(436,3164) = 344876

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FAQs on GCF of Fractions of 7519/436, 6961/3164

1. What is the HCF of 7519,6961?

The HCF of 7519,6961 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 7519/436, 6961/3164?

Answer: GCF of Numerators as per given numbers 7519/436, 6961/3164 is

GCF of Numerators i.e. for 7519,6961 is 1

LCM of denominators i.e. for 436,3164 is 344876.

Thus, GCF of Fractions is 1/344876.Finally, GCF of Fractions for 7519/436, 6961/3164 is 1/344876.