Greatest Common Factor of 907/431, 722/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 907/431, 722/175

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 907/431,722/175

Given fractions are 907/431,722/175

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 907,722

Greatest Common Factor of Numerators i.e. GCF of 907,722 is 1 .

LCM of Denominators means LCM of 431,175 as per the given fractions.

LCM of 431,175 is 75425 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 907,722

GCF of Fractions 907/431,722/175 is 1/75425

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

Greatest Common Factor of 907,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 907,722 By Matching Biggest Common Factor Method

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 907,722 . The biggest common factor number is the GCF number.
So the greatest common factor 907,722 is 1.

Lets's calculate LCM of 431,175

Given numbers has no common factors except 1. So, there LCM is their product i.e 75425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75425

Therefore, the GCF of Fractions 907/431,722/175 is 1/75425

Least Common Multiple of 431,175 with GCF Formula

Least Common Multiple of 431,175 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 431,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(431,175) = 1

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

GCF(431,175) x common factors =1 x 1 = 1

LCM(431,175) = ( 431 × 175 ) / 1

LCM(431,175) = 75425 / 1

LCM(431,175) = 75425


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 907/431, 722/175

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 907/431, 722/175?

Answer: GCF of Numerators as per given numbers 907/431, 722/175 is

GCF of Numerators i.e. for 907,722 is 1

LCM of denominators i.e. for 431,175 is 75425.

Thus, GCF of Fractions is 1/75425.Finally, GCF of Fractions for 907/431, 722/175 is 1/75425.