Greatest Common Factor of 89/668, 56/822, 238/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 89/668, 56/822, 238/165

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 89/668,56/822,238/165

Given fractions are 89/668,56/822,238/165

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 89,56,238

Greatest Common Factor of Numerators i.e. GCF of 89,56,238 is 1 .

LCM of Denominators means LCM of 668,822,165 as per the given fractions.

LCM of 668,822,165 is 15100140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 89,56,238

GCF of Fractions 89/668,56/822,238/165 is 1/15100140

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

Greatest Common Factor of 89,56,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,56,238 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 89,56,238 . The biggest common factor number is the GCF number.
So the greatest common factor 89,56,238 is 1.

Lets's calculate LCM of 668,822,165

2 668, 822, 165
3 334, 411, 165
334, 137, 55

∴ So the LCM of the given numbers is 2 x 3 x 334 x 137 x 55 = 15100140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15100140

Therefore, the GCF of Fractions 89/668,56/822,238/165 is 1/15100140

Least Common Multiple of 668,822,165 with GCF Formula

Least Common Multiple of 668,822,165 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 668,822,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,822,165) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(668,822,165) x common factors =1 x 6 = 6

LCM(668,822,165) = ( 668 × 822 × 165 ) / 6

LCM(668,822,165) = 90600840 / 6

LCM(668,822,165) = 15100140


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 89/668, 56/822, 238/165

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 89/668, 56/822, 238/165?

Answer: GCF of Numerators as per given numbers 89/668, 56/822, 238/165 is

GCF of Numerators i.e. for 89,56,238 is 1

LCM of denominators i.e. for 668,822,165 is 15100140.

Thus, GCF of Fractions is 1/15100140.Finally, GCF of Fractions for 89/668, 56/822, 238/165 is 1/15100140.