Greatest Common Factor of 518/75, 215/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 518/75, 215/497

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 518/75,215/497

Given fractions are 518/75,215/497

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 518,215

Greatest Common Factor of Numerators i.e. GCF of 518,215 is 1 .

LCM of Denominators means LCM of 75,497 as per the given fractions.

LCM of 75,497 is 37275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 518,215

GCF of Fractions 518/75,215/497 is 1/37275

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

Greatest Common Factor of 518,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,215 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Greatest Common Factor

We found the factors 518,215 . The biggest common factor number is the GCF number.
So the greatest common factor 518,215 is 1.

Lets's calculate LCM of 75,497

Given numbers has no common factors except 1. So, there LCM is their product i.e 37275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37275

Therefore, the GCF of Fractions 518/75,215/497 is 1/37275

Least Common Multiple of 75,497 with GCF Formula

Least Common Multiple of 75,497 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 75,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,497) = 1

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

GCF(75,497) x common factors =1 x 1 = 1

LCM(75,497) = ( 75 × 497 ) / 1

LCM(75,497) = 37275 / 1

LCM(75,497) = 37275


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 518/75, 215/497

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 518/75, 215/497?

Answer: GCF of Numerators as per given numbers 518/75, 215/497 is

GCF of Numerators i.e. for 518,215 is 1

LCM of denominators i.e. for 75,497 is 37275.

Thus, GCF of Fractions is 1/37275.Finally, GCF of Fractions for 518/75, 215/497 is 1/37275.