Greatest Common Factor of 238/86, 780/9239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 238/86, 780/9239

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 238/86,780/9239

Given fractions are 238/86,780/9239

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 238,780

Greatest Common Factor of Numerators i.e. GCF of 238,780 is 2 .

LCM of Denominators means LCM of 86,9239 as per the given fractions.

LCM of 86,9239 is 794554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 238,780

GCF of Fractions 238/86,780/9239 is 2/794554

2 238, 780
119, 390

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

Greatest Common Factor of 238,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,780 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 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 238,780 . The biggest common factor number is the GCF number.
So the greatest common factor 238,780 is 2.

Lets's calculate LCM of 86,9239

Given numbers has no common factors except 1. So, there LCM is their product i.e 794554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/794554

Therefore, the GCF of Fractions 238/86,780/9239 is 2/794554

Least Common Multiple of 86,9239 with GCF Formula

Least Common Multiple of 86,9239 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 86,9239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,9239) = 1

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

GCF(86,9239) x common factors =1 x 1 = 1

LCM(86,9239) = ( 86 × 9239 ) / 1

LCM(86,9239) = 794554 / 1

LCM(86,9239) = 794554


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 238/86, 780/9239

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 238/86, 780/9239?

Answer: GCF of Numerators as per given numbers 238/86, 780/9239 is

GCF of Numerators i.e. for 238,780 is 2

LCM of denominators i.e. for 86,9239 is 794554.

Thus, GCF of Fractions is 2/794554.Finally, GCF of Fractions for 238/86, 780/9239 is 2/794554.