Greatest Common Factor of 504/42, 8102/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 504/42, 8102/129

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 504/42,8102/129

Given fractions are 504/42,8102/129

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 504,8102

Greatest Common Factor of Numerators i.e. GCF of 504,8102 is 2 .

LCM of Denominators means LCM of 42,129 as per the given fractions.

LCM of 42,129 is 1806 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 504,8102

GCF of Fractions 504/42,8102/129 is 2/1806

2 504, 8102
252, 4051

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 504,8102 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,8102 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 8102

List of positive integer factors of 8102 that divides 8102 without a remainder.

1,2,4051,8102

Greatest Common Factor

We found the factors 504,8102 . The biggest common factor number is the GCF number.
So the greatest common factor 504,8102 is 2.

Lets's calculate LCM of 42,129

3 42, 129
14, 43

∴ So the LCM of the given numbers is 3 x 14 x 43 = 1806

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1806

Therefore, the GCF of Fractions 504/42,8102/129 is 2/1806

Least Common Multiple of 42,129 with GCF Formula

Least Common Multiple of 42,129 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 42,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,129) = 3

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

GCF(42,129) x common factors =3 x 1 = 3

LCM(42,129) = ( 42 × 129 ) / 3

LCM(42,129) = 5418 / 3

LCM(42,129) = 1806


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 504/42, 8102/129

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 504/42, 8102/129?

Answer: GCF of Numerators as per given numbers 504/42, 8102/129 is

GCF of Numerators i.e. for 504,8102 is 2

LCM of denominators i.e. for 42,129 is 1806.

Thus, GCF of Fractions is 2/1806.Finally, GCF of Fractions for 504/42, 8102/129 is 2/1806.