How to Find GCF of 5660/338, 5261/791?

GCF of 5660/338, 5261/791

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 5660/338, 5261/791 i.e 1/267358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5660/338, 5261/791.

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 5660/338,5261/791?

Given fractions are 5660/338,5261/791

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 5660/338,5261/791, numerators are 5660,5261

Denominators are 338,791

The GCF of 5660,5261 is 1 .

LCM of 338,791 is 267358.

The greatest common factor of 5660/338,5261/791 = [GCF of 5660,5261]/[LCM of 338,791]= 1/267358

Therefore, the GCF of 5660/338,5261/791 is 1/267358.

Greatest Common Factor of 5660,5261

To find the highest common factor of 5660,5261, we have to find the factors of both numbers and list the highest common factor.

The factors of 5660 are 1, 2, 4, 5, 10, 20, 283, 566, 1132, 1415, 2830, 5660

The factors of 5261 are 1, 5261

The HCF of 5660,5261 is 1.

Lets's calculate GCF of 5660,5261

Greatest Common Factor (GCF) of 5660,5261 By Common Division

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

Greatest Common Factor of 5660,5261 By Matching Biggest Common Factor Method

Now, list down the factors of 5660

1,2,4,5,10,20,283,566,1132,1415,2830,5660

Now, list down the factors of 5261

1,5261

Greatest Common Factor

We found the factors 5660,5261 . The biggest common factor number is the GCF number.
So the greatest common factor 5660,5261 is 1.

Lets's calculate LCM of 338,791

Lowest Common Multiple of 338,791 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 267358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267358

Therefore, the GCF of Fractions 5660/338,5261/791 is 1/267358

Least Common Multiple of 338,791 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 338,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,791) = 1

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

GCF(338,791) x common factors =1 x 1 = 1

LCM(338,791) = ( 338 × 791 ) / 1

LCM(338,791) = 267358 / 1

LCM(338,791) = 267358

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FAQs on GCF of Fractions of 5660/338, 5261/791

1. What is the HCF of 5660,5261?

The HCF of 5660,5261 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 5660/338, 5261/791?

Answer: GCF of Numerators as per given numbers 5660/338, 5261/791 is

GCF of Numerators i.e. for 5660,5261 is 1

LCM of denominators i.e. for 338,791 is 267358.

Thus, GCF of Fractions is 1/267358.Finally, GCF of Fractions for 5660/338, 5261/791 is 1/267358.