Greatest Common Factor of 171/79, 6156/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 171/79, 6156/804

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 171/79,6156/804

Given fractions are 171/79,6156/804

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 171,6156

Greatest Common Factor of Numerators i.e. GCF of 171,6156 is 171 .

LCM of Denominators means LCM of 79,804 as per the given fractions.

LCM of 79,804 is 63516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 171,6156

GCF of Fractions 171/79,6156/804 is 171/63516

3 171, 6156
3 57, 2052
19 19, 684
1, 36

∴ So the GCF of the given numbers is 3 x 3 x 19 = 171

Greatest Common Factor of 171,6156 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,6156 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 6156

List of positive integer factors of 6156 that divides 6156 without a remainder.

1,2,3,4,6,9,12,18,19,27,36,38,54,57,76,81,108,114,162,171,228,324,342,513,684,1026,1539,2052,3078,6156

Greatest Common Factor

We found the factors 171,6156 . The biggest common factor number is the GCF number.
So the greatest common factor 171,6156 is 171.

Lets's calculate LCM of 79,804

Given numbers has no common factors except 1. So, there LCM is their product i.e 63516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 171/63516

Therefore, the GCF of Fractions 171/79,6156/804 is 171/63516

Least Common Multiple of 79,804 with GCF Formula

Least Common Multiple of 79,804 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 79,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,804) = 1

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

GCF(79,804) x common factors =1 x 1 = 1

LCM(79,804) = ( 79 × 804 ) / 1

LCM(79,804) = 63516 / 1

LCM(79,804) = 63516


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 171/79, 6156/804

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 171/79, 6156/804?

Answer: GCF of Numerators as per given numbers 171/79, 6156/804 is

GCF of Numerators i.e. for 171,6156 is 171

LCM of denominators i.e. for 79,804 is 63516.

Thus, GCF of Fractions is 171/63516.Finally, GCF of Fractions for 171/79, 6156/804 is 171/63516.