Greatest Common Factor of 238/666, 538/808, 315/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/666, 538/808, 315/114

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 238/666,538/808,315/114

Given fractions are 238/666,538/808,315/114

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 238,538,315

Greatest Common Factor of Numerators i.e. GCF of 238,538,315 is 1 .

LCM of Denominators means LCM of 666,808,114 as per the given fractions.

LCM of 666,808,114 is 5112216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,538,315

GCF of Fractions 238/666,538/808,315/114 is 1/5112216

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

Greatest Common Factor of 238,538,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,538,315 By Matching Biggest Common Factor Method

Factors of 238

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

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

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 238,538,315 . The biggest common factor number is the GCF number.
So the greatest common factor 238,538,315 is 1.

Lets's calculate LCM of 666,808,114

2 666, 808, 114
3 333, 404, 57
111, 404, 19

∴ So the LCM of the given numbers is 2 x 3 x 111 x 404 x 19 = 5112216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5112216

Therefore, the GCF of Fractions 238/666,538/808,315/114 is 1/5112216

Least Common Multiple of 666,808,114 with GCF Formula

Least Common Multiple of 666,808,114 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 666,808,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,808,114) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(666,808,114) x common factors =2 x 6 = 12

LCM(666,808,114) = ( 666 × 808 × 114 ) / 12

LCM(666,808,114) = 61346592 / 12

LCM(666,808,114) = 5112216


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 238/666, 538/808, 315/114

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 238/666, 538/808, 315/114?

Answer: GCF of Numerators as per given numbers 238/666, 538/808, 315/114 is

GCF of Numerators i.e. for 238,538,315 is 1

LCM of denominators i.e. for 666,808,114 is 5112216.

Thus, GCF of Fractions is 1/5112216.Finally, GCF of Fractions for 238/666, 538/808, 315/114 is 1/5112216.