Greatest Common Factor of 373/9138, 564/5534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 373/9138, 564/5534

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 373/9138,564/5534

Given fractions are 373/9138,564/5534

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 373,564

Greatest Common Factor of Numerators i.e. GCF of 373,564 is 1 .

LCM of Denominators means LCM of 9138,5534 as per the given fractions.

LCM of 9138,5534 is 25284846 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 373,564

GCF of Fractions 373/9138,564/5534 is 1/25284846

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

Greatest Common Factor of 373,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 373,564 By Matching Biggest Common Factor Method

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 373,564 . The biggest common factor number is the GCF number.
So the greatest common factor 373,564 is 1.

Lets's calculate LCM of 9138,5534

2 9138, 5534
4569, 2767

∴ So the LCM of the given numbers is 2 x 4569 x 2767 = 25284846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25284846

Therefore, the GCF of Fractions 373/9138,564/5534 is 1/25284846

Least Common Multiple of 9138,5534 with GCF Formula

Least Common Multiple of 9138,5534 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 9138,5534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9138,5534) = 2

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

GCF(9138,5534) x common factors =2 x 1 = 2

LCM(9138,5534) = ( 9138 × 5534 ) / 2

LCM(9138,5534) = 50569692 / 2

LCM(9138,5534) = 25284846


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 373/9138, 564/5534

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 373/9138, 564/5534?

Answer: GCF of Numerators as per given numbers 373/9138, 564/5534 is

GCF of Numerators i.e. for 373,564 is 1

LCM of denominators i.e. for 9138,5534 is 25284846.

Thus, GCF of Fractions is 1/25284846.Finally, GCF of Fractions for 373/9138, 564/5534 is 1/25284846.