Greatest Common Factor of 238/389, 7718/6494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/389, 7718/6494

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 238/389,7718/6494

Given fractions are 238/389,7718/6494

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 238,7718

Greatest Common Factor of Numerators i.e. GCF of 238,7718 is 34 .

LCM of Denominators means LCM of 389,6494 as per the given fractions.

LCM of 389,6494 is 2526166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,7718

GCF of Fractions 238/389,7718/6494 is 34/2526166

2 238, 7718
17 119, 3859
7, 227

∴ So the GCF of the given numbers is 2 x 17 = 34

Greatest Common Factor of 238,7718 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,7718 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 7718

List of positive integer factors of 7718 that divides 7718 without a remainder.

1,2,17,34,227,454,3859,7718

Greatest Common Factor

We found the factors 238,7718 . The biggest common factor number is the GCF number.
So the greatest common factor 238,7718 is 34.

Lets's calculate LCM of 389,6494

Given numbers has no common factors except 1. So, there LCM is their product i.e 2526166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/2526166

Therefore, the GCF of Fractions 238/389,7718/6494 is 34/2526166

Least Common Multiple of 389,6494 with GCF Formula

Least Common Multiple of 389,6494 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 389,6494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,6494) = 1

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

GCF(389,6494) x common factors =1 x 1 = 1

LCM(389,6494) = ( 389 × 6494 ) / 1

LCM(389,6494) = 2526166 / 1

LCM(389,6494) = 2526166


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 238/389, 7718/6494

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 238/389, 7718/6494?

Answer: GCF of Numerators as per given numbers 238/389, 7718/6494 is

GCF of Numerators i.e. for 238,7718 is 34

LCM of denominators i.e. for 389,6494 is 2526166.

Thus, GCF of Fractions is 34/2526166.Finally, GCF of Fractions for 238/389, 7718/6494 is 34/2526166.