Greatest Common Factor of 36/40, 16/637, 238/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/40, 16/637, 238/864

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 36/40,16/637,238/864

Given fractions are 36/40,16/637,238/864

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 36,16,238

Greatest Common Factor of Numerators i.e. GCF of 36,16,238 is 2 .

LCM of Denominators means LCM of 40,637,864 as per the given fractions.

LCM of 40,637,864 is 2751840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,16,238

GCF of Fractions 36/40,16/637,238/864 is 2/2751840

2 36, 16, 238
18, 8, 119

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

Greatest Common Factor of 36,16,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,16,238 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 36,16,238 . The biggest common factor number is the GCF number.
So the greatest common factor 36,16,238 is 2.

Lets's calculate LCM of 40,637,864

2 40, 637, 864
2 20, 637, 432
2 10, 637, 216
5, 637, 108

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 637 x 108 = 2751840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2751840

Therefore, the GCF of Fractions 36/40,16/637,238/864 is 2/2751840

Least Common Multiple of 40,637,864 with GCF Formula

Least Common Multiple of 40,637,864 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 40,637,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,637,864) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(40,637,864) x common factors =1 x 8 = 8

LCM(40,637,864) = ( 40 × 637 × 864 ) / 8

LCM(40,637,864) = 22014720 / 8

LCM(40,637,864) = 2751840


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 36/40, 16/637, 238/864

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 36/40, 16/637, 238/864?

Answer: GCF of Numerators as per given numbers 36/40, 16/637, 238/864 is

GCF of Numerators i.e. for 36,16,238 is 2

LCM of denominators i.e. for 40,637,864 is 2751840.

Thus, GCF of Fractions is 2/2751840.Finally, GCF of Fractions for 36/40, 16/637, 238/864 is 2/2751840.