Greatest Common Factor of 2784/31, 4118/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2784/31, 4118/564

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 2784/31,4118/564

Given fractions are 2784/31,4118/564

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 2784,4118

Greatest Common Factor of Numerators i.e. GCF of 2784,4118 is 58 .

LCM of Denominators means LCM of 31,564 as per the given fractions.

LCM of 31,564 is 17484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2784,4118

GCF of Fractions 2784/31,4118/564 is 58/17484

2 2784, 4118
29 1392, 2059
48, 71

∴ So the GCF of the given numbers is 2 x 29 = 58

Greatest Common Factor of 2784,4118 By Matching Biggest Common Factor Method

Greatest Common Factor of 2784,4118 By Matching Biggest Common Factor Method

Factors of 2784

List of positive integer factors of 2784 that divides 2784 without a remainder.

1,2,3,4,6,8,12,16,24,29,32,48,58,87,96,116,174,232,348,464,696,928,1392,2784

Factors of 4118

List of positive integer factors of 4118 that divides 4118 without a remainder.

1,2,29,58,71,142,2059,4118

Greatest Common Factor

We found the factors 2784,4118 . The biggest common factor number is the GCF number.
So the greatest common factor 2784,4118 is 58.

Lets's calculate LCM of 31,564

Given numbers has no common factors except 1. So, there LCM is their product i.e 17484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/17484

Therefore, the GCF of Fractions 2784/31,4118/564 is 58/17484

Least Common Multiple of 31,564 with GCF Formula

Least Common Multiple of 31,564 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 31,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,564) = 1

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

GCF(31,564) x common factors =1 x 1 = 1

LCM(31,564) = ( 31 × 564 ) / 1

LCM(31,564) = 17484 / 1

LCM(31,564) = 17484


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 2784/31, 4118/564

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 2784/31, 4118/564?

Answer: GCF of Numerators as per given numbers 2784/31, 4118/564 is

GCF of Numerators i.e. for 2784,4118 is 58

LCM of denominators i.e. for 31,564 is 17484.

Thus, GCF of Fractions is 58/17484.Finally, GCF of Fractions for 2784/31, 4118/564 is 58/17484.