Greatest Common Factor of 2361/158, 9054/5080

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2361/158, 9054/5080

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 2361/158,9054/5080

Given fractions are 2361/158,9054/5080

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 2361,9054

Greatest Common Factor of Numerators i.e. GCF of 2361,9054 is 3 .

LCM of Denominators means LCM of 158,5080 as per the given fractions.

LCM of 158,5080 is 401320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2361,9054

GCF of Fractions 2361/158,9054/5080 is 3/401320

3 2361, 9054
787, 3018

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2361,9054 By Matching Biggest Common Factor Method

Greatest Common Factor of 2361,9054 By Matching Biggest Common Factor Method

Factors of 2361

List of positive integer factors of 2361 that divides 2361 without a remainder.

1,3,787,2361

Factors of 9054

List of positive integer factors of 9054 that divides 9054 without a remainder.

1,2,3,6,9,18,503,1006,1509,3018,4527,9054

Greatest Common Factor

We found the factors 2361,9054 . The biggest common factor number is the GCF number.
So the greatest common factor 2361,9054 is 3.

Lets's calculate LCM of 158,5080

2 158, 5080
79, 2540

∴ So the LCM of the given numbers is 2 x 79 x 2540 = 401320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/401320

Therefore, the GCF of Fractions 2361/158,9054/5080 is 3/401320

Least Common Multiple of 158,5080 with GCF Formula

Least Common Multiple of 158,5080 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 158,5080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(158,5080) = 2

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

GCF(158,5080) x common factors =2 x 1 = 2

LCM(158,5080) = ( 158 × 5080 ) / 2

LCM(158,5080) = 802640 / 2

LCM(158,5080) = 401320


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 2361/158, 9054/5080

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 2361/158, 9054/5080?

Answer: GCF of Numerators as per given numbers 2361/158, 9054/5080 is

GCF of Numerators i.e. for 2361,9054 is 3

LCM of denominators i.e. for 158,5080 is 401320.

Thus, GCF of Fractions is 3/401320.Finally, GCF of Fractions for 2361/158, 9054/5080 is 3/401320.