Greatest Common Factor of 7312/905, 5385/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7312/905, 5385/494

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 7312/905,5385/494

Given fractions are 7312/905,5385/494

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 7312,5385

Greatest Common Factor of Numerators i.e. GCF of 7312,5385 is 1 .

LCM of Denominators means LCM of 905,494 as per the given fractions.

LCM of 905,494 is 447070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7312,5385

GCF of Fractions 7312/905,5385/494 is 1/447070

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

Greatest Common Factor of 7312,5385 By Matching Biggest Common Factor Method

Greatest Common Factor of 7312,5385 By Matching Biggest Common Factor Method

Factors of 7312

List of positive integer factors of 7312 that divides 7312 without a remainder.

1,2,4,8,16,457,914,1828,3656,7312

Factors of 5385

List of positive integer factors of 5385 that divides 5385 without a remainder.

1,3,5,15,359,1077,1795,5385

Greatest Common Factor

We found the factors 7312,5385 . The biggest common factor number is the GCF number.
So the greatest common factor 7312,5385 is 1.

Lets's calculate LCM of 905,494

Given numbers has no common factors except 1. So, there LCM is their product i.e 447070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/447070

Therefore, the GCF of Fractions 7312/905,5385/494 is 1/447070

Least Common Multiple of 905,494 with GCF Formula

Least Common Multiple of 905,494 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 905,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,494) = 1

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

GCF(905,494) x common factors =1 x 1 = 1

LCM(905,494) = ( 905 × 494 ) / 1

LCM(905,494) = 447070 / 1

LCM(905,494) = 447070


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 7312/905, 5385/494

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 7312/905, 5385/494?

Answer: GCF of Numerators as per given numbers 7312/905, 5385/494 is

GCF of Numerators i.e. for 7312,5385 is 1

LCM of denominators i.e. for 905,494 is 447070.

Thus, GCF of Fractions is 1/447070.Finally, GCF of Fractions for 7312/905, 5385/494 is 1/447070.