Greatest Common Factor of 431/756, 460/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 431/756, 460/823

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 431/756,460/823

Given fractions are 431/756,460/823

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 431,460

Greatest Common Factor of Numerators i.e. GCF of 431,460 is 1 .

LCM of Denominators means LCM of 756,823 as per the given fractions.

LCM of 756,823 is 622188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 431,460

GCF of Fractions 431/756,460/823 is 1/622188

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

Greatest Common Factor of 431,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,460 By Matching Biggest Common Factor Method

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 431,460 . The biggest common factor number is the GCF number.
So the greatest common factor 431,460 is 1.

Lets's calculate LCM of 756,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 622188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/622188

Therefore, the GCF of Fractions 431/756,460/823 is 1/622188

Least Common Multiple of 756,823 with GCF Formula

Least Common Multiple of 756,823 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 756,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,823) = 1

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

GCF(756,823) x common factors =1 x 1 = 1

LCM(756,823) = ( 756 × 823 ) / 1

LCM(756,823) = 622188 / 1

LCM(756,823) = 622188


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 431/756, 460/823

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 431/756, 460/823?

Answer: GCF of Numerators as per given numbers 431/756, 460/823 is

GCF of Numerators i.e. for 431,460 is 1

LCM of denominators i.e. for 756,823 is 622188.

Thus, GCF of Fractions is 1/622188.Finally, GCF of Fractions for 431/756, 460/823 is 1/622188.