Greatest Common Factor of 9526/538, 5369/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9526/538, 5369/681

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 9526/538,5369/681

Given fractions are 9526/538,5369/681

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9526,5369

Greatest Common Factor of Numerators i.e. GCF of 9526,5369 is 1 .

LCM of Denominators means LCM of 538,681 as per the given fractions.

LCM of 538,681 is 366378 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9526,5369

GCF of Fractions 9526/538,5369/681 is 1/366378

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

Greatest Common Factor of 9526,5369 By Matching Biggest Common Factor Method

Greatest Common Factor of 9526,5369 By Matching Biggest Common Factor Method

Factors of 9526

List of positive integer factors of 9526 that divides 9526 without a remainder.

1,2,11,22,433,866,4763,9526

Factors of 5369

List of positive integer factors of 5369 that divides 5369 without a remainder.

1,7,13,59,91,413,767,5369

Greatest Common Factor

We found the factors 9526,5369 . The biggest common factor number is the GCF number.
So the greatest common factor 9526,5369 is 1.

Lets's calculate LCM of 538,681

Given numbers has no common factors except 1. So, there LCM is their product i.e 366378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366378

Therefore, the GCF of Fractions 9526/538,5369/681 is 1/366378

Least Common Multiple of 538,681 with GCF Formula

Least Common Multiple of 538,681 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 538,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(538,681) = 1

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

GCF(538,681) x common factors =1 x 1 = 1

LCM(538,681) = ( 538 × 681 ) / 1

LCM(538,681) = 366378 / 1

LCM(538,681) = 366378


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9526/538, 5369/681

1. 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.

2. What is the GCF of Fractions for 9526/538, 5369/681?

Answer: GCF of Numerators as per given numbers 9526/538, 5369/681 is

GCF of Numerators i.e. for 9526,5369 is 1

LCM of denominators i.e. for 538,681 is 366378.

Thus, GCF of Fractions is 1/366378.Finally, GCF of Fractions for 9526/538, 5369/681 is 1/366378.