How to Find GCF of 5179/765, 2791/3901?

GCF of 5179/765, 2791/3901

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 5179/765, 2791/3901 i.e 1/2984265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5179/765, 2791/3901.

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 5179/765,2791/3901?

Given fractions are 5179/765,2791/3901

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 5179/765,2791/3901, numerators are 5179,2791

Denominators are 765,3901

The GCF of 5179,2791 is 1 .

LCM of 765,3901 is 2984265.

The greatest common factor of 5179/765,2791/3901 = [GCF of 5179,2791]/[LCM of 765,3901]= 1/2984265

Therefore, the GCF of 5179/765,2791/3901 is 1/2984265.

Greatest Common Factor of 5179,2791

To find the highest common factor of 5179,2791, we have to find the factors of both numbers and list the highest common factor.

The factors of 5179 are 1, 5179

The factors of 2791 are 1, 2791

The HCF of 5179,2791 is 1.

Lets's calculate GCF of 5179,2791

Greatest Common Factor (GCF) of 5179,2791 By Common Division

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

Greatest Common Factor of 5179,2791 By Matching Biggest Common Factor Method

Now, list down the factors of 5179

1,5179

Now, list down the factors of 2791

1,2791

Greatest Common Factor

We found the factors 5179,2791 . The biggest common factor number is the GCF number.
So the greatest common factor 5179,2791 is 1.

Lets's calculate LCM of 765,3901

Lowest Common Multiple of 765,3901 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2984265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2984265

Therefore, the GCF of Fractions 5179/765,2791/3901 is 1/2984265

Least Common Multiple of 765,3901 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 765,3901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,3901) = 1

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

GCF(765,3901) x common factors =1 x 1 = 1

LCM(765,3901) = ( 765 × 3901 ) / 1

LCM(765,3901) = 2984265 / 1

LCM(765,3901) = 2984265

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FAQs on GCF of Fractions of 5179/765, 2791/3901

1. What is the HCF of 5179,2791?

The HCF of 5179,2791 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 5179/765, 2791/3901?

Answer: GCF of Numerators as per given numbers 5179/765, 2791/3901 is

GCF of Numerators i.e. for 5179,2791 is 1

LCM of denominators i.e. for 765,3901 is 2984265.

Thus, GCF of Fractions is 1/2984265.Finally, GCF of Fractions for 5179/765, 2791/3901 is 1/2984265.