Greatest Common Factor of 532/549, 2939/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 532/549, 2939/624

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 532/549,2939/624

Given fractions are 532/549,2939/624

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 532,2939

Greatest Common Factor of Numerators i.e. GCF of 532,2939 is 1 .

LCM of Denominators means LCM of 549,624 as per the given fractions.

LCM of 549,624 is 114192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 532,2939

GCF of Fractions 532/549,2939/624 is 1/114192

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

Greatest Common Factor of 532,2939 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,2939 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 2939

List of positive integer factors of 2939 that divides 2939 without a remainder.

1,2939

Greatest Common Factor

We found the factors 532,2939 . The biggest common factor number is the GCF number.
So the greatest common factor 532,2939 is 1.

Lets's calculate LCM of 549,624

3 549, 624
183, 208

∴ So the LCM of the given numbers is 3 x 183 x 208 = 114192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114192

Therefore, the GCF of Fractions 532/549,2939/624 is 1/114192

Least Common Multiple of 549,624 with GCF Formula

Least Common Multiple of 549,624 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 549,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,624) = 3

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

GCF(549,624) x common factors =3 x 1 = 3

LCM(549,624) = ( 549 × 624 ) / 3

LCM(549,624) = 342576 / 3

LCM(549,624) = 114192


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 532/549, 2939/624

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 532/549, 2939/624?

Answer: GCF of Numerators as per given numbers 532/549, 2939/624 is

GCF of Numerators i.e. for 532,2939 is 1

LCM of denominators i.e. for 549,624 is 114192.

Thus, GCF of Fractions is 1/114192.Finally, GCF of Fractions for 532/549, 2939/624 is 1/114192.