Greatest Common Factor of 89/380, 979/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 89/380, 979/231

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 89/380,979/231

Given fractions are 89/380,979/231

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 89,979

Greatest Common Factor of Numerators i.e. GCF of 89,979 is 89 .

LCM of Denominators means LCM of 380,231 as per the given fractions.

LCM of 380,231 is 87780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 89,979

GCF of Fractions 89/380,979/231 is 89/87780

89 89, 979
1, 11

∴ So the GCF of the given numbers is 89 = 89

Greatest Common Factor of 89,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,979 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 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 89,979 . The biggest common factor number is the GCF number.
So the greatest common factor 89,979 is 89.

Lets's calculate LCM of 380,231

Given numbers has no common factors except 1. So, there LCM is their product i.e 87780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/87780

Therefore, the GCF of Fractions 89/380,979/231 is 89/87780

Least Common Multiple of 380,231 with GCF Formula

Least Common Multiple of 380,231 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 380,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,231) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(380,231) x common factors =1 x 1 = 1

LCM(380,231) = ( 380 × 231 ) / 1

LCM(380,231) = 87780 / 1

LCM(380,231) = 87780


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 89/380, 979/231

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 89/380, 979/231?

Answer: GCF of Numerators as per given numbers 89/380, 979/231 is

GCF of Numerators i.e. for 89,979 is 89

LCM of denominators i.e. for 380,231 is 87780.

Thus, GCF of Fractions is 89/87780.Finally, GCF of Fractions for 89/380, 979/231 is 89/87780.