Greatest Common Factor of 504/28, 687/3971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 504/28, 687/3971

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 504/28,687/3971

Given fractions are 504/28,687/3971

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 504,687

Greatest Common Factor of Numerators i.e. GCF of 504,687 is 3 .

LCM of Denominators means LCM of 28,3971 as per the given fractions.

LCM of 28,3971 is 111188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 504,687

GCF of Fractions 504/28,687/3971 is 3/111188

3 504, 687
168, 229

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 504,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,687 By Matching Biggest Common Factor Method

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

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 504,687 . The biggest common factor number is the GCF number.
So the greatest common factor 504,687 is 3.

Lets's calculate LCM of 28,3971

Given numbers has no common factors except 1. So, there LCM is their product i.e 111188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/111188

Therefore, the GCF of Fractions 504/28,687/3971 is 3/111188

Least Common Multiple of 28,3971 with GCF Formula

Least Common Multiple of 28,3971 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 28,3971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,3971) = 1

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

GCF(28,3971) x common factors =1 x 1 = 1

LCM(28,3971) = ( 28 × 3971 ) / 1

LCM(28,3971) = 111188 / 1

LCM(28,3971) = 111188


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 504/28, 687/3971

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 504/28, 687/3971?

Answer: GCF of Numerators as per given numbers 504/28, 687/3971 is

GCF of Numerators i.e. for 504,687 is 3

LCM of denominators i.e. for 28,3971 is 111188.

Thus, GCF of Fractions is 3/111188.Finally, GCF of Fractions for 504/28, 687/3971 is 3/111188.