Greatest Common Factor of 231/380, 131/716, 574/737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 231/380, 131/716, 574/737

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 231/380,131/716,574/737

Given fractions are 231/380,131/716,574/737

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 231,131,574

Greatest Common Factor of Numerators i.e. GCF of 231,131,574 is 1 .

LCM of Denominators means LCM of 380,716,737 as per the given fractions.

LCM of 380,716,737 is 50130740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 231,131,574

GCF of Fractions 231/380,131/716,574/737 is 1/50130740

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

Greatest Common Factor of 231,131,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,131,574 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 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 231,131,574 . The biggest common factor number is the GCF number.
So the greatest common factor 231,131,574 is 1.

Lets's calculate LCM of 380,716,737

2 380, 716, 737
2 190, 358, 737
95, 179, 737

∴ So the LCM of the given numbers is 2 x 2 x 95 x 179 x 737 = 50130740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50130740

Therefore, the GCF of Fractions 231/380,131/716,574/737 is 1/50130740

Least Common Multiple of 380,716,737 with GCF Formula

Least Common Multiple of 380,716,737 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 380,716,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,716,737) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(380,716,737) x common factors =1 x 4 = 4

LCM(380,716,737) = ( 380 × 716 × 737 ) / 4

LCM(380,716,737) = 200522960 / 4

LCM(380,716,737) = 50130740


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 231/380, 131/716, 574/737

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 231/380, 131/716, 574/737?

Answer: GCF of Numerators as per given numbers 231/380, 131/716, 574/737 is

GCF of Numerators i.e. for 231,131,574 is 1

LCM of denominators i.e. for 380,716,737 is 50130740.

Thus, GCF of Fractions is 1/50130740.Finally, GCF of Fractions for 231/380, 131/716, 574/737 is 1/50130740.