Greatest Common Factor of 236/15, 2478/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 236/15, 2478/771

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 236/15,2478/771

Given fractions are 236/15,2478/771

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 236,2478

Greatest Common Factor of Numerators i.e. GCF of 236,2478 is 118 .

LCM of Denominators means LCM of 15,771 as per the given fractions.

LCM of 15,771 is 3855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 236,2478

GCF of Fractions 236/15,2478/771 is 118/3855

2 236, 2478
59 118, 1239
2, 21

∴ So the GCF of the given numbers is 2 x 59 = 118

Greatest Common Factor of 236,2478 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,2478 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 2478

List of positive integer factors of 2478 that divides 2478 without a remainder.

1,2,3,6,7,14,21,42,59,118,177,354,413,826,1239,2478

Greatest Common Factor

We found the factors 236,2478 . The biggest common factor number is the GCF number.
So the greatest common factor 236,2478 is 118.

Lets's calculate LCM of 15,771

3 15, 771
5, 257

∴ So the LCM of the given numbers is 3 x 5 x 257 = 3855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 118/3855

Therefore, the GCF of Fractions 236/15,2478/771 is 118/3855

Least Common Multiple of 15,771 with GCF Formula

Least Common Multiple of 15,771 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 15,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,771) = 3

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

GCF(15,771) x common factors =3 x 1 = 3

LCM(15,771) = ( 15 × 771 ) / 3

LCM(15,771) = 11565 / 3

LCM(15,771) = 3855


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 236/15, 2478/771

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 236/15, 2478/771?

Answer: GCF of Numerators as per given numbers 236/15, 2478/771 is

GCF of Numerators i.e. for 236,2478 is 118

LCM of denominators i.e. for 15,771 is 3855.

Thus, GCF of Fractions is 118/3855.Finally, GCF of Fractions for 236/15, 2478/771 is 118/3855.