Greatest Common Factor of 5372/219, 1056/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5372/219, 1056/431

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 5372/219,1056/431

Given fractions are 5372/219,1056/431

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 5372,1056

Greatest Common Factor of Numerators i.e. GCF of 5372,1056 is 4 .

LCM of Denominators means LCM of 219,431 as per the given fractions.

LCM of 219,431 is 94389 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5372,1056

GCF of Fractions 5372/219,1056/431 is 4/94389

2 5372, 1056
2 2686, 528
1343, 264

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5372,1056 By Matching Biggest Common Factor Method

Greatest Common Factor of 5372,1056 By Matching Biggest Common Factor Method

Factors of 5372

List of positive integer factors of 5372 that divides 5372 without a remainder.

1,2,4,17,34,68,79,158,316,1343,2686,5372

Factors of 1056

List of positive integer factors of 1056 that divides 1056 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,66,88,96,132,176,264,352,528,1056

Greatest Common Factor

We found the factors 5372,1056 . The biggest common factor number is the GCF number.
So the greatest common factor 5372,1056 is 4.

Lets's calculate LCM of 219,431

Given numbers has no common factors except 1. So, there LCM is their product i.e 94389

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/94389

Therefore, the GCF of Fractions 5372/219,1056/431 is 4/94389

Least Common Multiple of 219,431 with GCF Formula

Least Common Multiple of 219,431 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 219,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,431) = 1

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

GCF(219,431) x common factors =1 x 1 = 1

LCM(219,431) = ( 219 × 431 ) / 1

LCM(219,431) = 94389 / 1

LCM(219,431) = 94389


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 5372/219, 1056/431

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 5372/219, 1056/431?

Answer: GCF of Numerators as per given numbers 5372/219, 1056/431 is

GCF of Numerators i.e. for 5372,1056 is 4

LCM of denominators i.e. for 219,431 is 94389.

Thus, GCF of Fractions is 4/94389.Finally, GCF of Fractions for 5372/219, 1056/431 is 4/94389.