Greatest Common Factor of 162/79, 171/38, 580/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 162/79, 171/38, 580/207

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 162/79,171/38,580/207

Given fractions are 162/79,171/38,580/207

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 162,171,580

Greatest Common Factor of Numerators i.e. GCF of 162,171,580 is 1 .

LCM of Denominators means LCM of 79,38,207 as per the given fractions.

LCM of 79,38,207 is 621414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 162,171,580

GCF of Fractions 162/79,171/38,580/207 is 1/621414

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

Greatest Common Factor of 162,171,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,171,580 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 171

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

1,3,9,19,57,171

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 162,171,580 . The biggest common factor number is the GCF number.
So the greatest common factor 162,171,580 is 1.

Lets's calculate LCM of 79,38,207

Given numbers has no common factors except 1. So, there LCM is their product i.e 621414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/621414

Therefore, the GCF of Fractions 162/79,171/38,580/207 is 1/621414

Least Common Multiple of 79,38,207 with GCF Formula

Least Common Multiple of 79,38,207 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 79,38,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,38,207) = 1

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

GCF(79,38,207) x common factors =1 x 1 = 1

LCM(79,38,207) = ( 79 × 38 × 207 ) / 1

LCM(79,38,207) = 621414 / 1

LCM(79,38,207) = 621414


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 162/79, 171/38, 580/207

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 162/79, 171/38, 580/207?

Answer: GCF of Numerators as per given numbers 162/79, 171/38, 580/207 is

GCF of Numerators i.e. for 162,171,580 is 1

LCM of denominators i.e. for 79,38,207 is 621414.

Thus, GCF of Fractions is 1/621414.Finally, GCF of Fractions for 162/79, 171/38, 580/207 is 1/621414.