Greatest Common Factor of 3972/252, 5399/9218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3972/252, 5399/9218

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 3972/252,5399/9218

Given fractions are 3972/252,5399/9218

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 3972,5399

Greatest Common Factor of Numerators i.e. GCF of 3972,5399 is 1 .

LCM of Denominators means LCM of 252,9218 as per the given fractions.

LCM of 252,9218 is 1161468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3972,5399

GCF of Fractions 3972/252,5399/9218 is 1/1161468

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

Greatest Common Factor of 3972,5399 By Matching Biggest Common Factor Method

Greatest Common Factor of 3972,5399 By Matching Biggest Common Factor Method

Factors of 3972

List of positive integer factors of 3972 that divides 3972 without a remainder.

1,2,3,4,6,12,331,662,993,1324,1986,3972

Factors of 5399

List of positive integer factors of 5399 that divides 5399 without a remainder.

1,5399

Greatest Common Factor

We found the factors 3972,5399 . The biggest common factor number is the GCF number.
So the greatest common factor 3972,5399 is 1.

Lets's calculate LCM of 252,9218

2 252, 9218
126, 4609

∴ So the LCM of the given numbers is 2 x 126 x 4609 = 1161468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1161468

Therefore, the GCF of Fractions 3972/252,5399/9218 is 1/1161468

Least Common Multiple of 252,9218 with GCF Formula

Least Common Multiple of 252,9218 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 252,9218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,9218) = 2

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

GCF(252,9218) x common factors =2 x 1 = 2

LCM(252,9218) = ( 252 × 9218 ) / 2

LCM(252,9218) = 2322936 / 2

LCM(252,9218) = 1161468


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 3972/252, 5399/9218

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 3972/252, 5399/9218?

Answer: GCF of Numerators as per given numbers 3972/252, 5399/9218 is

GCF of Numerators i.e. for 3972,5399 is 1

LCM of denominators i.e. for 252,9218 is 1161468.

Thus, GCF of Fractions is 1/1161468.Finally, GCF of Fractions for 3972/252, 5399/9218 is 1/1161468.