Greatest Common Factor of 2580/17, 3952/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2580/17, 3952/162

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 2580/17,3952/162

Given fractions are 2580/17,3952/162

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 2580,3952

Greatest Common Factor of Numerators i.e. GCF of 2580,3952 is 4 .

LCM of Denominators means LCM of 17,162 as per the given fractions.

LCM of 17,162 is 2754 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2580,3952

GCF of Fractions 2580/17,3952/162 is 4/2754

2 2580, 3952
2 1290, 1976
645, 988

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2580,3952 By Matching Biggest Common Factor Method

Greatest Common Factor of 2580,3952 By Matching Biggest Common Factor Method

Factors of 2580

List of positive integer factors of 2580 that divides 2580 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,43,60,86,129,172,215,258,430,516,645,860,1290,2580

Factors of 3952

List of positive integer factors of 3952 that divides 3952 without a remainder.

1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952

Greatest Common Factor

We found the factors 2580,3952 . The biggest common factor number is the GCF number.
So the greatest common factor 2580,3952 is 4.

Lets's calculate LCM of 17,162

Given numbers has no common factors except 1. So, there LCM is their product i.e 2754

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2754

Therefore, the GCF of Fractions 2580/17,3952/162 is 4/2754

Least Common Multiple of 17,162 with GCF Formula

Least Common Multiple of 17,162 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 17,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,162) = 1

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

GCF(17,162) x common factors =1 x 1 = 1

LCM(17,162) = ( 17 × 162 ) / 1

LCM(17,162) = 2754 / 1

LCM(17,162) = 2754


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 2580/17, 3952/162

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 2580/17, 3952/162?

Answer: GCF of Numerators as per given numbers 2580/17, 3952/162 is

GCF of Numerators i.e. for 2580,3952 is 4

LCM of denominators i.e. for 17,162 is 2754.

Thus, GCF of Fractions is 4/2754.Finally, GCF of Fractions for 2580/17, 3952/162 is 4/2754.