Greatest Common Factor of 2914/89, 5180/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2914/89, 5180/637

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 2914/89,5180/637

Given fractions are 2914/89,5180/637

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 2914,5180

Greatest Common Factor of Numerators i.e. GCF of 2914,5180 is 2 .

LCM of Denominators means LCM of 89,637 as per the given fractions.

LCM of 89,637 is 56693 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2914,5180

GCF of Fractions 2914/89,5180/637 is 2/56693

2 2914, 5180
1457, 2590

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

Greatest Common Factor of 2914,5180 By Matching Biggest Common Factor Method

Greatest Common Factor of 2914,5180 By Matching Biggest Common Factor Method

Factors of 2914

List of positive integer factors of 2914 that divides 2914 without a remainder.

1,2,31,47,62,94,1457,2914

Factors of 5180

List of positive integer factors of 5180 that divides 5180 without a remainder.

1,2,4,5,7,10,14,20,28,35,37,70,74,140,148,185,259,370,518,740,1036,1295,2590,5180

Greatest Common Factor

We found the factors 2914,5180 . The biggest common factor number is the GCF number.
So the greatest common factor 2914,5180 is 2.

Lets's calculate LCM of 89,637

Given numbers has no common factors except 1. So, there LCM is their product i.e 56693

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56693

Therefore, the GCF of Fractions 2914/89,5180/637 is 2/56693

Least Common Multiple of 89,637 with GCF Formula

Least Common Multiple of 89,637 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 89,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,637) = 1

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

GCF(89,637) x common factors =1 x 1 = 1

LCM(89,637) = ( 89 × 637 ) / 1

LCM(89,637) = 56693 / 1

LCM(89,637) = 56693


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 2914/89, 5180/637

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 2914/89, 5180/637?

Answer: GCF of Numerators as per given numbers 2914/89, 5180/637 is

GCF of Numerators i.e. for 2914,5180 is 2

LCM of denominators i.e. for 89,637 is 56693.

Thus, GCF of Fractions is 2/56693.Finally, GCF of Fractions for 2914/89, 5180/637 is 2/56693.