Greatest Common Factor of 731/610, 744/950, 457/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 731/610, 744/950, 457/225

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 731/610,744/950,457/225

Given fractions are 731/610,744/950,457/225

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 731,744,457

Greatest Common Factor of Numerators i.e. GCF of 731,744,457 is 1 .

LCM of Denominators means LCM of 610,950,225 as per the given fractions.

LCM of 610,950,225 is 521550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 731,744,457

GCF of Fractions 731/610,744/950,457/225 is 1/521550

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

Greatest Common Factor of 731,744,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,744,457 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Greatest Common Factor

We found the factors 731,744,457 . The biggest common factor number is the GCF number.
So the greatest common factor 731,744,457 is 1.

Lets's calculate LCM of 610,950,225

2 610, 950, 225
5 305, 475, 225
5 61, 95, 45
61, 19, 9

∴ So the LCM of the given numbers is 2 x 5 x 5 x 61 x 19 x 9 = 521550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/521550

Therefore, the GCF of Fractions 731/610,744/950,457/225 is 1/521550

Least Common Multiple of 610,950,225 with GCF Formula

Least Common Multiple of 610,950,225 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 610,950,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,950,225) = 5

common factors(in case of two or more numbers have common factors) = 50

GCF(610,950,225) x common factors =5 x 50 = 250

LCM(610,950,225) = ( 610 × 950 × 225 ) / 250

LCM(610,950,225) = 130387500 / 250

LCM(610,950,225) = 521550


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 731/610, 744/950, 457/225

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 731/610, 744/950, 457/225?

Answer: GCF of Numerators as per given numbers 731/610, 744/950, 457/225 is

GCF of Numerators i.e. for 731,744,457 is 1

LCM of denominators i.e. for 610,950,225 is 521550.

Thus, GCF of Fractions is 1/521550.Finally, GCF of Fractions for 731/610, 744/950, 457/225 is 1/521550.