Greatest Common Factor of 518/21, 683/31, 504/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 518/21, 683/31, 504/107

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 518/21,683/31,504/107

Given fractions are 518/21,683/31,504/107

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 518,683,504

Greatest Common Factor of Numerators i.e. GCF of 518,683,504 is 1 .

LCM of Denominators means LCM of 21,31,107 as per the given fractions.

LCM of 21,31,107 is 69657 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 518,683,504

GCF of Fractions 518/21,683/31,504/107 is 1/69657

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

Greatest Common Factor of 518,683,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,683,504 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 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Greatest Common Factor

We found the factors 518,683,504 . The biggest common factor number is the GCF number.
So the greatest common factor 518,683,504 is 1.

Lets's calculate LCM of 21,31,107

Given numbers has no common factors except 1. So, there LCM is their product i.e 69657

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69657

Therefore, the GCF of Fractions 518/21,683/31,504/107 is 1/69657

Least Common Multiple of 21,31,107 with GCF Formula

Least Common Multiple of 21,31,107 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 21,31,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,31,107) = 1

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

GCF(21,31,107) x common factors =1 x 1 = 1

LCM(21,31,107) = ( 21 × 31 × 107 ) / 1

LCM(21,31,107) = 69657 / 1

LCM(21,31,107) = 69657


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 518/21, 683/31, 504/107

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 518/21, 683/31, 504/107?

Answer: GCF of Numerators as per given numbers 518/21, 683/31, 504/107 is

GCF of Numerators i.e. for 518,683,504 is 1

LCM of denominators i.e. for 21,31,107 is 69657.

Thus, GCF of Fractions is 1/69657.Finally, GCF of Fractions for 518/21, 683/31, 504/107 is 1/69657.