Greatest Common Factor of 2127/524, 4152/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2127/524, 4152/317

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 2127/524,4152/317

Given fractions are 2127/524,4152/317

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 2127,4152

Greatest Common Factor of Numerators i.e. GCF of 2127,4152 is 3 .

LCM of Denominators means LCM of 524,317 as per the given fractions.

LCM of 524,317 is 166108 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2127,4152

GCF of Fractions 2127/524,4152/317 is 3/166108

3 2127, 4152
709, 1384

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2127,4152 By Matching Biggest Common Factor Method

Greatest Common Factor of 2127,4152 By Matching Biggest Common Factor Method

Factors of 2127

List of positive integer factors of 2127 that divides 2127 without a remainder.

1,3,709,2127

Factors of 4152

List of positive integer factors of 4152 that divides 4152 without a remainder.

1,2,3,4,6,8,12,24,173,346,519,692,1038,1384,2076,4152

Greatest Common Factor

We found the factors 2127,4152 . The biggest common factor number is the GCF number.
So the greatest common factor 2127,4152 is 3.

Lets's calculate LCM of 524,317

Given numbers has no common factors except 1. So, there LCM is their product i.e 166108

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/166108

Therefore, the GCF of Fractions 2127/524,4152/317 is 3/166108

Least Common Multiple of 524,317 with GCF Formula

Least Common Multiple of 524,317 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 524,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,317) = 1

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

GCF(524,317) x common factors =1 x 1 = 1

LCM(524,317) = ( 524 × 317 ) / 1

LCM(524,317) = 166108 / 1

LCM(524,317) = 166108


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 2127/524, 4152/317

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 2127/524, 4152/317?

Answer: GCF of Numerators as per given numbers 2127/524, 4152/317 is

GCF of Numerators i.e. for 2127,4152 is 3

LCM of denominators i.e. for 524,317 is 166108.

Thus, GCF of Fractions is 3/166108.Finally, GCF of Fractions for 2127/524, 4152/317 is 3/166108.