Greatest Common Factor of 5452/664, 5574/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5452/664, 5574/135

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 5452/664,5574/135

Given fractions are 5452/664,5574/135

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 5452,5574

Greatest Common Factor of Numerators i.e. GCF of 5452,5574 is 2 .

LCM of Denominators means LCM of 664,135 as per the given fractions.

LCM of 664,135 is 89640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5452,5574

GCF of Fractions 5452/664,5574/135 is 2/89640

2 5452, 5574
2726, 2787

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

Greatest Common Factor of 5452,5574 By Matching Biggest Common Factor Method

Greatest Common Factor of 5452,5574 By Matching Biggest Common Factor Method

Factors of 5452

List of positive integer factors of 5452 that divides 5452 without a remainder.

1,2,4,29,47,58,94,116,188,1363,2726,5452

Factors of 5574

List of positive integer factors of 5574 that divides 5574 without a remainder.

1,2,3,6,929,1858,2787,5574

Greatest Common Factor

We found the factors 5452,5574 . The biggest common factor number is the GCF number.
So the greatest common factor 5452,5574 is 2.

Lets's calculate LCM of 664,135

Given numbers has no common factors except 1. So, there LCM is their product i.e 89640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/89640

Therefore, the GCF of Fractions 5452/664,5574/135 is 2/89640

Least Common Multiple of 664,135 with GCF Formula

Least Common Multiple of 664,135 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 664,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,135) = 1

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

GCF(664,135) x common factors =1 x 1 = 1

LCM(664,135) = ( 664 × 135 ) / 1

LCM(664,135) = 89640 / 1

LCM(664,135) = 89640


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 5452/664, 5574/135

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 5452/664, 5574/135?

Answer: GCF of Numerators as per given numbers 5452/664, 5574/135 is

GCF of Numerators i.e. for 5452,5574 is 2

LCM of denominators i.e. for 664,135 is 89640.

Thus, GCF of Fractions is 2/89640.Finally, GCF of Fractions for 5452/664, 5574/135 is 2/89640.