Greatest Common Factor of 501/987, 919/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 501/987, 919/213

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 501/987,919/213

Given fractions are 501/987,919/213

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 501,919

Greatest Common Factor of Numerators i.e. GCF of 501,919 is 1 .

LCM of Denominators means LCM of 987,213 as per the given fractions.

LCM of 987,213 is 70077 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 501,919

GCF of Fractions 501/987,919/213 is 1/70077

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

Greatest Common Factor of 501,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,919 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 501,919 . The biggest common factor number is the GCF number.
So the greatest common factor 501,919 is 1.

Lets's calculate LCM of 987,213

3 987, 213
329, 71

∴ So the LCM of the given numbers is 3 x 329 x 71 = 70077

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70077

Therefore, the GCF of Fractions 501/987,919/213 is 1/70077

Least Common Multiple of 987,213 with GCF Formula

Least Common Multiple of 987,213 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 987,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,213) = 3

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

GCF(987,213) x common factors =3 x 1 = 3

LCM(987,213) = ( 987 × 213 ) / 3

LCM(987,213) = 210231 / 3

LCM(987,213) = 70077


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 501/987, 919/213

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 501/987, 919/213?

Answer: GCF of Numerators as per given numbers 501/987, 919/213 is

GCF of Numerators i.e. for 501,919 is 1

LCM of denominators i.e. for 987,213 is 70077.

Thus, GCF of Fractions is 1/70077.Finally, GCF of Fractions for 501/987, 919/213 is 1/70077.