Greatest Common Factor of 9538/292, 2686/3979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9538/292, 2686/3979

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 9538/292,2686/3979

Given fractions are 9538/292,2686/3979

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 9538,2686

Greatest Common Factor of Numerators i.e. GCF of 9538,2686 is 2 .

LCM of Denominators means LCM of 292,3979 as per the given fractions.

LCM of 292,3979 is 1161868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9538,2686

GCF of Fractions 9538/292,2686/3979 is 2/1161868

2 9538, 2686
4769, 1343

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9538,2686 By Matching Biggest Common Factor Method

Greatest Common Factor of 9538,2686 By Matching Biggest Common Factor Method

Factors of 9538

List of positive integer factors of 9538 that divides 9538 without a remainder.

1,2,19,38,251,502,4769,9538

Factors of 2686

List of positive integer factors of 2686 that divides 2686 without a remainder.

1,2,17,34,79,158,1343,2686

Greatest Common Factor

We found the factors 9538,2686 . The biggest common factor number is the GCF number.
So the greatest common factor 9538,2686 is 2.

Lets's calculate LCM of 292,3979

Given numbers has no common factors except 1. So, there LCM is their product i.e 1161868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1161868

Therefore, the GCF of Fractions 9538/292,2686/3979 is 2/1161868

Least Common Multiple of 292,3979 with GCF Formula

Least Common Multiple of 292,3979 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 292,3979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,3979) = 1

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

GCF(292,3979) x common factors =1 x 1 = 1

LCM(292,3979) = ( 292 × 3979 ) / 1

LCM(292,3979) = 1161868 / 1

LCM(292,3979) = 1161868


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 9538/292, 2686/3979

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 9538/292, 2686/3979?

Answer: GCF of Numerators as per given numbers 9538/292, 2686/3979 is

GCF of Numerators i.e. for 9538,2686 is 2

LCM of denominators i.e. for 292,3979 is 1161868.

Thus, GCF of Fractions is 2/1161868.Finally, GCF of Fractions for 9538/292, 2686/3979 is 2/1161868.