Greatest Common Factor of 516/936, 535/670, 504/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 516/936, 535/670, 504/274

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 516/936,535/670,504/274

Given fractions are 516/936,535/670,504/274

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 516,535,504

Greatest Common Factor of Numerators i.e. GCF of 516,535,504 is 1 .

LCM of Denominators means LCM of 936,670,274 as per the given fractions.

LCM of 936,670,274 is 42957720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 516,535,504

GCF of Fractions 516/936,535/670,504/274 is 1/42957720

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

Greatest Common Factor of 516,535,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,535,504 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

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 516,535,504 . The biggest common factor number is the GCF number.
So the greatest common factor 516,535,504 is 1.

Lets's calculate LCM of 936,670,274

2 936, 670, 274
468, 335, 137

∴ So the LCM of the given numbers is 2 x 468 x 335 x 137 = 42957720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42957720

Therefore, the GCF of Fractions 516/936,535/670,504/274 is 1/42957720

Least Common Multiple of 936,670,274 with GCF Formula

Least Common Multiple of 936,670,274 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 936,670,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,670,274) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(936,670,274) x common factors =2 x 2 = 4

LCM(936,670,274) = ( 936 × 670 × 274 ) / 4

LCM(936,670,274) = 171830880 / 4

LCM(936,670,274) = 42957720


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 516/936, 535/670, 504/274

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 516/936, 535/670, 504/274?

Answer: GCF of Numerators as per given numbers 516/936, 535/670, 504/274 is

GCF of Numerators i.e. for 516,535,504 is 1

LCM of denominators i.e. for 936,670,274 is 42957720.

Thus, GCF of Fractions is 1/42957720.Finally, GCF of Fractions for 516/936, 535/670, 504/274 is 1/42957720.