Greatest Common Factor of 760/238, 3952/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 760/238, 3952/387

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 760/238,3952/387

Given fractions are 760/238,3952/387

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 760,3952

Greatest Common Factor of Numerators i.e. GCF of 760,3952 is 152 .

LCM of Denominators means LCM of 238,387 as per the given fractions.

LCM of 238,387 is 92106 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 760,3952

GCF of Fractions 760/238,3952/387 is 152/92106

2 760, 3952
2 380, 1976
2 190, 988
19 95, 494
5, 26

∴ So the GCF of the given numbers is 2 x 2 x 2 x 19 = 152

Greatest Common Factor of 760,3952 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,3952 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 3952

List of positive integer factors of 3952 that divides 3952 without a remainder.

1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952

Greatest Common Factor

We found the factors 760,3952 . The biggest common factor number is the GCF number.
So the greatest common factor 760,3952 is 152.

Lets's calculate LCM of 238,387

Given numbers has no common factors except 1. So, there LCM is their product i.e 92106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 152/92106

Therefore, the GCF of Fractions 760/238,3952/387 is 152/92106

Least Common Multiple of 238,387 with GCF Formula

Least Common Multiple of 238,387 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 238,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,387) = 1

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

GCF(238,387) x common factors =1 x 1 = 1

LCM(238,387) = ( 238 × 387 ) / 1

LCM(238,387) = 92106 / 1

LCM(238,387) = 92106


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 760/238, 3952/387

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 760/238, 3952/387?

Answer: GCF of Numerators as per given numbers 760/238, 3952/387 is

GCF of Numerators i.e. for 760,3952 is 152

LCM of denominators i.e. for 238,387 is 92106.

Thus, GCF of Fractions is 152/92106.Finally, GCF of Fractions for 760/238, 3952/387 is 152/92106.