Greatest Common Factor of 2637/438, 1874/5363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2637/438, 1874/5363

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 2637/438,1874/5363

Given fractions are 2637/438,1874/5363

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 2637,1874

Greatest Common Factor of Numerators i.e. GCF of 2637,1874 is 1 .

LCM of Denominators means LCM of 438,5363 as per the given fractions.

LCM of 438,5363 is 2348994 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2637,1874

GCF of Fractions 2637/438,1874/5363 is 1/2348994

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

Greatest Common Factor of 2637,1874 By Matching Biggest Common Factor Method

Greatest Common Factor of 2637,1874 By Matching Biggest Common Factor Method

Factors of 2637

List of positive integer factors of 2637 that divides 2637 without a remainder.

1,3,9,293,879,2637

Factors of 1874

List of positive integer factors of 1874 that divides 1874 without a remainder.

1,2,937,1874

Greatest Common Factor

We found the factors 2637,1874 . The biggest common factor number is the GCF number.
So the greatest common factor 2637,1874 is 1.

Lets's calculate LCM of 438,5363

Given numbers has no common factors except 1. So, there LCM is their product i.e 2348994

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2348994

Therefore, the GCF of Fractions 2637/438,1874/5363 is 1/2348994

Least Common Multiple of 438,5363 with GCF Formula

Least Common Multiple of 438,5363 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 438,5363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,5363) = 1

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

GCF(438,5363) x common factors =1 x 1 = 1

LCM(438,5363) = ( 438 × 5363 ) / 1

LCM(438,5363) = 2348994 / 1

LCM(438,5363) = 2348994


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 2637/438, 1874/5363

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 2637/438, 1874/5363?

Answer: GCF of Numerators as per given numbers 2637/438, 1874/5363 is

GCF of Numerators i.e. for 2637,1874 is 1

LCM of denominators i.e. for 438,5363 is 2348994.

Thus, GCF of Fractions is 1/2348994.Finally, GCF of Fractions for 2637/438, 1874/5363 is 1/2348994.