Greatest Common Factor of 2932/549, 1360/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2932/549, 1360/272

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 2932/549,1360/272

Given fractions are 2932/549,1360/272

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 2932,1360

Greatest Common Factor of Numerators i.e. GCF of 2932,1360 is 4 .

LCM of Denominators means LCM of 549,272 as per the given fractions.

LCM of 549,272 is 149328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2932,1360

GCF of Fractions 2932/549,1360/272 is 4/149328

2 2932, 1360
2 1466, 680
733, 340

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

Greatest Common Factor of 2932,1360 By Matching Biggest Common Factor Method

Greatest Common Factor of 2932,1360 By Matching Biggest Common Factor Method

Factors of 2932

List of positive integer factors of 2932 that divides 2932 without a remainder.

1,2,4,733,1466,2932

Factors of 1360

List of positive integer factors of 1360 that divides 1360 without a remainder.

1,2,4,5,8,10,16,17,20,34,40,68,80,85,136,170,272,340,680,1360

Greatest Common Factor

We found the factors 2932,1360 . The biggest common factor number is the GCF number.
So the greatest common factor 2932,1360 is 4.

Lets's calculate LCM of 549,272

Given numbers has no common factors except 1. So, there LCM is their product i.e 149328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/149328

Therefore, the GCF of Fractions 2932/549,1360/272 is 4/149328

Least Common Multiple of 549,272 with GCF Formula

Least Common Multiple of 549,272 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 549,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,272) = 1

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

GCF(549,272) x common factors =1 x 1 = 1

LCM(549,272) = ( 549 × 272 ) / 1

LCM(549,272) = 149328 / 1

LCM(549,272) = 149328


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 2932/549, 1360/272

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 2932/549, 1360/272?

Answer: GCF of Numerators as per given numbers 2932/549, 1360/272 is

GCF of Numerators i.e. for 2932,1360 is 4

LCM of denominators i.e. for 549,272 is 149328.

Thus, GCF of Fractions is 4/149328.Finally, GCF of Fractions for 2932/549, 1360/272 is 4/149328.