Greatest Common Factor of 601/82, 231/977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 601/82, 231/977

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 601/82,231/977

Given fractions are 601/82,231/977

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 601,231

Greatest Common Factor of Numerators i.e. GCF of 601,231 is 1 .

LCM of Denominators means LCM of 82,977 as per the given fractions.

LCM of 82,977 is 80114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 601,231

GCF of Fractions 601/82,231/977 is 1/80114

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

Greatest Common Factor of 601,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,231 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 601,231 . The biggest common factor number is the GCF number.
So the greatest common factor 601,231 is 1.

Lets's calculate LCM of 82,977

Given numbers has no common factors except 1. So, there LCM is their product i.e 80114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80114

Therefore, the GCF of Fractions 601/82,231/977 is 1/80114

Least Common Multiple of 82,977 with GCF Formula

Least Common Multiple of 82,977 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 82,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,977) = 1

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

GCF(82,977) x common factors =1 x 1 = 1

LCM(82,977) = ( 82 × 977 ) / 1

LCM(82,977) = 80114 / 1

LCM(82,977) = 80114


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 601/82, 231/977

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 601/82, 231/977?

Answer: GCF of Numerators as per given numbers 601/82, 231/977 is

GCF of Numerators i.e. for 601,231 is 1

LCM of denominators i.e. for 82,977 is 80114.

Thus, GCF of Fractions is 1/80114.Finally, GCF of Fractions for 601/82, 231/977 is 1/80114.