Greatest Common Factor of 767/348, 160/239, 167/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 767/348, 160/239, 167/112

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 767/348,160/239,167/112

Given fractions are 767/348,160/239,167/112

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 767,160,167

Greatest Common Factor of Numerators i.e. GCF of 767,160,167 is 1 .

LCM of Denominators means LCM of 348,239,112 as per the given fractions.

LCM of 348,239,112 is 2328816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 767,160,167

GCF of Fractions 767/348,160/239,167/112 is 1/2328816

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

Greatest Common Factor of 767,160,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,160,167 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 767,160,167 . The biggest common factor number is the GCF number.
So the greatest common factor 767,160,167 is 1.

Lets's calculate LCM of 348,239,112

2 348, 239, 112
2 174, 239, 56
87, 239, 28

∴ So the LCM of the given numbers is 2 x 2 x 87 x 239 x 28 = 2328816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2328816

Therefore, the GCF of Fractions 767/348,160/239,167/112 is 1/2328816

Least Common Multiple of 348,239,112 with GCF Formula

Least Common Multiple of 348,239,112 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 348,239,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,239,112) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(348,239,112) x common factors =1 x 4 = 4

LCM(348,239,112) = ( 348 × 239 × 112 ) / 4

LCM(348,239,112) = 9315264 / 4

LCM(348,239,112) = 2328816


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 767/348, 160/239, 167/112

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 767/348, 160/239, 167/112?

Answer: GCF of Numerators as per given numbers 767/348, 160/239, 167/112 is

GCF of Numerators i.e. for 767,160,167 is 1

LCM of denominators i.e. for 348,239,112 is 2328816.

Thus, GCF of Fractions is 1/2328816.Finally, GCF of Fractions for 767/348, 160/239, 167/112 is 1/2328816.