Greatest Common Factor of 8172/312, 1939/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8172/312, 1939/129

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 8172/312,1939/129

Given fractions are 8172/312,1939/129

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 8172,1939

Greatest Common Factor of Numerators i.e. GCF of 8172,1939 is 1 .

LCM of Denominators means LCM of 312,129 as per the given fractions.

LCM of 312,129 is 13416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8172,1939

GCF of Fractions 8172/312,1939/129 is 1/13416

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

Greatest Common Factor of 8172,1939 By Matching Biggest Common Factor Method

Greatest Common Factor of 8172,1939 By Matching Biggest Common Factor Method

Factors of 8172

List of positive integer factors of 8172 that divides 8172 without a remainder.

1,2,3,4,6,9,12,18,36,227,454,681,908,1362,2043,2724,4086,8172

Factors of 1939

List of positive integer factors of 1939 that divides 1939 without a remainder.

1,7,277,1939

Greatest Common Factor

We found the factors 8172,1939 . The biggest common factor number is the GCF number.
So the greatest common factor 8172,1939 is 1.

Lets's calculate LCM of 312,129

3 312, 129
104, 43

∴ So the LCM of the given numbers is 3 x 104 x 43 = 13416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13416

Therefore, the GCF of Fractions 8172/312,1939/129 is 1/13416

Least Common Multiple of 312,129 with GCF Formula

Least Common Multiple of 312,129 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 312,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,129) = 3

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

GCF(312,129) x common factors =3 x 1 = 3

LCM(312,129) = ( 312 × 129 ) / 3

LCM(312,129) = 40248 / 3

LCM(312,129) = 13416


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 8172/312, 1939/129

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 8172/312, 1939/129?

Answer: GCF of Numerators as per given numbers 8172/312, 1939/129 is

GCF of Numerators i.e. for 8172,1939 is 1

LCM of denominators i.e. for 312,129 is 13416.

Thus, GCF of Fractions is 1/13416.Finally, GCF of Fractions for 8172/312, 1939/129 is 1/13416.