Greatest Common Factor of 2148/436, 9537/3912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 2148/436, 9537/3912

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 2148/436,9537/3912

Given fractions are 2148/436,9537/3912

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 2148,9537

Greatest Common Factor of Numerators i.e. GCF of 2148,9537 is 3 .

LCM of Denominators means LCM of 436,3912 as per the given fractions.

LCM of 436,3912 is 426408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2148,9537

GCF of Fractions 2148/436,9537/3912 is 3/426408

3 2148, 9537
716, 3179

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

Greatest Common Factor of 2148,9537 By Matching Biggest Common Factor Method

Greatest Common Factor of 2148,9537 By Matching Biggest Common Factor Method

Factors of 2148

List of positive integer factors of 2148 that divides 2148 without a remainder.

1,2,3,4,6,12,179,358,537,716,1074,2148

Factors of 9537

List of positive integer factors of 9537 that divides 9537 without a remainder.

1,3,11,17,33,51,187,289,561,867,3179,9537

Greatest Common Factor

We found the factors 2148,9537 . The biggest common factor number is the GCF number.
So the greatest common factor 2148,9537 is 3.


Lets's calculate LCM of 436,3912

2 436, 3912
2 218, 1956
109, 978

∴ So the LCM of the given numbers is 2 x 2 x 109 x 978 = 426408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/426408

Therefore, the GCF of Fractions 2148/436,9537/3912 is 3/426408

Least Common Multiple of 436,3912 with GCF Formula

Least Common Multiple of 436,3912 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 436,3912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,3912) = 4

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

GCF(436,3912) x common factors =4 x 1 = 4

LCM(436,3912) = ( 436 × 3912 ) / 4

LCM(436,3912) = 1705632 / 4

LCM(436,3912) = 426408


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 2148/436, 9537/3912

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 2148/436, 9537/3912?

Answer: GCF of Numerators as per given numbers 2148/436, 9537/3912 is

GCF of Numerators i.e. for 2148,9537 is 3

LCM of denominators i.e. for 436,3912 is 426408.

Thus, GCF of Fractions is 3/426408.Finally, GCF of Fractions for 2148/436, 9537/3912 is 3/426408.