Greatest Common Factor of 538/244, 2646/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 538/244, 2646/975

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 538/244,2646/975

Given fractions are 538/244,2646/975

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 538,2646

Greatest Common Factor of Numerators i.e. GCF of 538,2646 is 2 .

LCM of Denominators means LCM of 244,975 as per the given fractions.

LCM of 244,975 is 237900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 538,2646

GCF of Fractions 538/244,2646/975 is 2/237900

2 538, 2646
269, 1323

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

Greatest Common Factor of 538,2646 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,2646 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 2646

List of positive integer factors of 2646 that divides 2646 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,49,54,63,98,126,147,189,294,378,441,882,1323,2646

Greatest Common Factor

We found the factors 538,2646 . The biggest common factor number is the GCF number.
So the greatest common factor 538,2646 is 2.

Lets's calculate LCM of 244,975

Given numbers has no common factors except 1. So, there LCM is their product i.e 237900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/237900

Therefore, the GCF of Fractions 538/244,2646/975 is 2/237900

Least Common Multiple of 244,975 with GCF Formula

Least Common Multiple of 244,975 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 244,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(244,975) = 1

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

GCF(244,975) x common factors =1 x 1 = 1

LCM(244,975) = ( 244 × 975 ) / 1

LCM(244,975) = 237900 / 1

LCM(244,975) = 237900


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 538/244, 2646/975

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 538/244, 2646/975?

Answer: GCF of Numerators as per given numbers 538/244, 2646/975 is

GCF of Numerators i.e. for 538,2646 is 2

LCM of denominators i.e. for 244,975 is 237900.

Thus, GCF of Fractions is 2/237900.Finally, GCF of Fractions for 538/244, 2646/975 is 2/237900.