Greatest Common Factor of 231/605, 5978/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 231/605, 5978/172

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 231/605,5978/172

Given fractions are 231/605,5978/172

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 231,5978

Greatest Common Factor of Numerators i.e. GCF of 231,5978 is 7 .

LCM of Denominators means LCM of 605,172 as per the given fractions.

LCM of 605,172 is 104060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 231,5978

GCF of Fractions 231/605,5978/172 is 7/104060

7 231, 5978
33, 854

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 231,5978 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,5978 By Matching Biggest Common Factor Method

Factors of 231

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

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

Factors of 5978

List of positive integer factors of 5978 that divides 5978 without a remainder.

1,2,7,14,49,61,98,122,427,854,2989,5978

Greatest Common Factor

We found the factors 231,5978 . The biggest common factor number is the GCF number.
So the greatest common factor 231,5978 is 7.

Lets's calculate LCM of 605,172

Given numbers has no common factors except 1. So, there LCM is their product i.e 104060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/104060

Therefore, the GCF of Fractions 231/605,5978/172 is 7/104060

Least Common Multiple of 605,172 with GCF Formula

Least Common Multiple of 605,172 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 605,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,172) = 1

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

GCF(605,172) x common factors =1 x 1 = 1

LCM(605,172) = ( 605 × 172 ) / 1

LCM(605,172) = 104060 / 1

LCM(605,172) = 104060


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 231/605, 5978/172

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 231/605, 5978/172?

Answer: GCF of Numerators as per given numbers 231/605, 5978/172 is

GCF of Numerators i.e. for 231,5978 is 7

LCM of denominators i.e. for 605,172 is 104060.

Thus, GCF of Fractions is 7/104060.Finally, GCF of Fractions for 231/605, 5978/172 is 7/104060.