Greatest Common Factor of 431/4934, 941/7279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 431/4934, 941/7279

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 431/4934,941/7279

Given fractions are 431/4934,941/7279

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 431,941

Greatest Common Factor of Numerators i.e. GCF of 431,941 is 1 .

LCM of Denominators means LCM of 4934,7279 as per the given fractions.

LCM of 4934,7279 is 35914586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 431,941

GCF of Fractions 431/4934,941/7279 is 1/35914586

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

Greatest Common Factor of 431,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,941 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 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 431,941 . The biggest common factor number is the GCF number.
So the greatest common factor 431,941 is 1.

Lets's calculate LCM of 4934,7279

Given numbers has no common factors except 1. So, there LCM is their product i.e 35914586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35914586

Therefore, the GCF of Fractions 431/4934,941/7279 is 1/35914586

Least Common Multiple of 4934,7279 with GCF Formula

Least Common Multiple of 4934,7279 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 4934,7279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4934,7279) = 1

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

GCF(4934,7279) x common factors =1 x 1 = 1

LCM(4934,7279) = ( 4934 × 7279 ) / 1

LCM(4934,7279) = 35914586 / 1

LCM(4934,7279) = 35914586


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 431/4934, 941/7279

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 431/4934, 941/7279?

Answer: GCF of Numerators as per given numbers 431/4934, 941/7279 is

GCF of Numerators i.e. for 431,941 is 1

LCM of denominators i.e. for 4934,7279 is 35914586.

Thus, GCF of Fractions is 1/35914586.Finally, GCF of Fractions for 431/4934, 941/7279 is 1/35914586.