Greatest Common Factor of 91/858, 25/180, 838/815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 91/858, 25/180, 838/815

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 91/858,25/180,838/815

Given fractions are 91/858,25/180,838/815

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 91,25,838

Greatest Common Factor of Numerators i.e. GCF of 91,25,838 is 1 .

LCM of Denominators means LCM of 858,180,815 as per the given fractions.

LCM of 858,180,815 is 4195620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 91,25,838

GCF of Fractions 91/858,25/180,838/815 is 1/4195620

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

Greatest Common Factor of 91,25,838 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,25,838 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Greatest Common Factor

We found the factors 91,25,838 . The biggest common factor number is the GCF number.
So the greatest common factor 91,25,838 is 1.

Lets's calculate LCM of 858,180,815

2 858, 180, 815
3 429, 90, 815
5 143, 30, 815
143, 6, 163

∴ So the LCM of the given numbers is 2 x 3 x 5 x 143 x 6 x 163 = 4195620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4195620

Therefore, the GCF of Fractions 91/858,25/180,838/815 is 1/4195620

Least Common Multiple of 858,180,815 with GCF Formula

Least Common Multiple of 858,180,815 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 858,180,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,180,815) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(858,180,815) x common factors =1 x 30 = 30

LCM(858,180,815) = ( 858 × 180 × 815 ) / 30

LCM(858,180,815) = 125868600 / 30

LCM(858,180,815) = 4195620


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 91/858, 25/180, 838/815

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 91/858, 25/180, 838/815?

Answer: GCF of Numerators as per given numbers 91/858, 25/180, 838/815 is

GCF of Numerators i.e. for 91,25,838 is 1

LCM of denominators i.e. for 858,180,815 is 4195620.

Thus, GCF of Fractions is 1/4195620.Finally, GCF of Fractions for 91/858, 25/180, 838/815 is 1/4195620.