Greatest Common Factor of 2132/75, 4584/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2132/75, 4584/172

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 2132/75,4584/172

Given fractions are 2132/75,4584/172

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 2132,4584

Greatest Common Factor of Numerators i.e. GCF of 2132,4584 is 4 .

LCM of Denominators means LCM of 75,172 as per the given fractions.

LCM of 75,172 is 12900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2132,4584

GCF of Fractions 2132/75,4584/172 is 4/12900

2 2132, 4584
2 1066, 2292
533, 1146

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

Greatest Common Factor of 2132,4584 By Matching Biggest Common Factor Method

Greatest Common Factor of 2132,4584 By Matching Biggest Common Factor Method

Factors of 2132

List of positive integer factors of 2132 that divides 2132 without a remainder.

1,2,4,13,26,41,52,82,164,533,1066,2132

Factors of 4584

List of positive integer factors of 4584 that divides 4584 without a remainder.

1,2,3,4,6,8,12,24,191,382,573,764,1146,1528,2292,4584

Greatest Common Factor

We found the factors 2132,4584 . The biggest common factor number is the GCF number.
So the greatest common factor 2132,4584 is 4.

Lets's calculate LCM of 75,172

Given numbers has no common factors except 1. So, there LCM is their product i.e 12900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/12900

Therefore, the GCF of Fractions 2132/75,4584/172 is 4/12900

Least Common Multiple of 75,172 with GCF Formula

Least Common Multiple of 75,172 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 75,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,172) = 1

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

GCF(75,172) x common factors =1 x 1 = 1

LCM(75,172) = ( 75 × 172 ) / 1

LCM(75,172) = 12900 / 1

LCM(75,172) = 12900


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 2132/75, 4584/172

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 2132/75, 4584/172?

Answer: GCF of Numerators as per given numbers 2132/75, 4584/172 is

GCF of Numerators i.e. for 2132,4584 is 4

LCM of denominators i.e. for 75,172 is 12900.

Thus, GCF of Fractions is 4/12900.Finally, GCF of Fractions for 2132/75, 4584/172 is 4/12900.