Greatest Common Factor of 85/861, 10/161, 567/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/861, 10/161, 567/112

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 85/861,10/161,567/112

Given fractions are 85/861,10/161,567/112

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 85,10,567

Greatest Common Factor of Numerators i.e. GCF of 85,10,567 is 1 .

LCM of Denominators means LCM of 861,161,112 as per the given fractions.

LCM of 861,161,112 is 316848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,10,567

GCF of Fractions 85/861,10/161,567/112 is 1/316848

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

Greatest Common Factor of 85,10,567 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,10,567 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Greatest Common Factor

We found the factors 85,10,567 . The biggest common factor number is the GCF number.
So the greatest common factor 85,10,567 is 1.

Lets's calculate LCM of 861,161,112

7 861, 161, 112
123, 23, 16

∴ So the LCM of the given numbers is 7 x 123 x 23 x 16 = 316848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316848

Therefore, the GCF of Fractions 85/861,10/161,567/112 is 1/316848

Least Common Multiple of 861,161,112 with GCF Formula

Least Common Multiple of 861,161,112 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 861,161,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(861,161,112) = 7

common factors(in case of two or more numbers have common factors) = 7

GCF(861,161,112) x common factors =7 x 7 = 49

LCM(861,161,112) = ( 861 × 161 × 112 ) / 49

LCM(861,161,112) = 15525552 / 49

LCM(861,161,112) = 316848


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 85/861, 10/161, 567/112

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 85/861, 10/161, 567/112?

Answer: GCF of Numerators as per given numbers 85/861, 10/161, 567/112 is

GCF of Numerators i.e. for 85,10,567 is 1

LCM of denominators i.e. for 861,161,112 is 316848.

Thus, GCF of Fractions is 1/316848.Finally, GCF of Fractions for 85/861, 10/161, 567/112 is 1/316848.