Greatest Common Factor of 107/91, 164/96, 978/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 107/91, 164/96, 978/458

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 107/91,164/96,978/458

Given fractions are 107/91,164/96,978/458

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 107,164,978

Greatest Common Factor of Numerators i.e. GCF of 107,164,978 is 1 .

LCM of Denominators means LCM of 91,96,458 as per the given fractions.

LCM of 91,96,458 is 2000544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 107,164,978

GCF of Fractions 107/91,164/96,978/458 is 1/2000544

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

Greatest Common Factor of 107,164,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,164,978 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 107,164,978 . The biggest common factor number is the GCF number.
So the greatest common factor 107,164,978 is 1.

Lets's calculate LCM of 91,96,458

2 91, 96, 458
91, 48, 229

∴ So the LCM of the given numbers is 2 x 91 x 48 x 229 = 2000544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2000544

Therefore, the GCF of Fractions 107/91,164/96,978/458 is 1/2000544

Least Common Multiple of 91,96,458 with GCF Formula

Least Common Multiple of 91,96,458 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 91,96,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,96,458) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(91,96,458) x common factors =1 x 2 = 2

LCM(91,96,458) = ( 91 × 96 × 458 ) / 2

LCM(91,96,458) = 4001088 / 2

LCM(91,96,458) = 2000544


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 107/91, 164/96, 978/458

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 107/91, 164/96, 978/458?

Answer: GCF of Numerators as per given numbers 107/91, 164/96, 978/458 is

GCF of Numerators i.e. for 107,164,978 is 1

LCM of denominators i.e. for 91,96,458 is 2000544.

Thus, GCF of Fractions is 1/2000544.Finally, GCF of Fractions for 107/91, 164/96, 978/458 is 1/2000544.