Greatest Common Factor of 238/39, 856/7139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/39, 856/7139

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 238/39,856/7139

Given fractions are 238/39,856/7139

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 238,856

Greatest Common Factor of Numerators i.e. GCF of 238,856 is 2 .

LCM of Denominators means LCM of 39,7139 as per the given fractions.

LCM of 39,7139 is 278421 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,856

GCF of Fractions 238/39,856/7139 is 2/278421

2 238, 856
119, 428

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

Greatest Common Factor of 238,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,856 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 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 238,856 . The biggest common factor number is the GCF number.
So the greatest common factor 238,856 is 2.

Lets's calculate LCM of 39,7139

Given numbers has no common factors except 1. So, there LCM is their product i.e 278421

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/278421

Therefore, the GCF of Fractions 238/39,856/7139 is 2/278421

Least Common Multiple of 39,7139 with GCF Formula

Least Common Multiple of 39,7139 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 39,7139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,7139) = 1

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

GCF(39,7139) x common factors =1 x 1 = 1

LCM(39,7139) = ( 39 × 7139 ) / 1

LCM(39,7139) = 278421 / 1

LCM(39,7139) = 278421


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 238/39, 856/7139

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 238/39, 856/7139?

Answer: GCF of Numerators as per given numbers 238/39, 856/7139 is

GCF of Numerators i.e. for 238,856 is 2

LCM of denominators i.e. for 39,7139 is 278421.

Thus, GCF of Fractions is 2/278421.Finally, GCF of Fractions for 238/39, 856/7139 is 2/278421.