Greatest Common Factor of 4020/324, 2532/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4020/324, 2532/281

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 4020/324,2532/281

Given fractions are 4020/324,2532/281

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 4020,2532

Greatest Common Factor of Numerators i.e. GCF of 4020,2532 is 12 .

LCM of Denominators means LCM of 324,281 as per the given fractions.

LCM of 324,281 is 91044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4020,2532

GCF of Fractions 4020/324,2532/281 is 12/91044

2 4020, 2532
2 2010, 1266
3 1005, 633
335, 211

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 4020,2532 By Matching Biggest Common Factor Method

Greatest Common Factor of 4020,2532 By Matching Biggest Common Factor Method

Factors of 4020

List of positive integer factors of 4020 that divides 4020 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,67,134,201,268,335,402,670,804,1005,1340,2010,4020

Factors of 2532

List of positive integer factors of 2532 that divides 2532 without a remainder.

1,2,3,4,6,12,211,422,633,844,1266,2532

Greatest Common Factor

We found the factors 4020,2532 . The biggest common factor number is the GCF number.
So the greatest common factor 4020,2532 is 12.

Lets's calculate LCM of 324,281

Given numbers has no common factors except 1. So, there LCM is their product i.e 91044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/91044

Therefore, the GCF of Fractions 4020/324,2532/281 is 12/91044

Least Common Multiple of 324,281 with GCF Formula

Least Common Multiple of 324,281 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 324,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,281) = 1

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

GCF(324,281) x common factors =1 x 1 = 1

LCM(324,281) = ( 324 × 281 ) / 1

LCM(324,281) = 91044 / 1

LCM(324,281) = 91044


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 4020/324, 2532/281

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 4020/324, 2532/281?

Answer: GCF of Numerators as per given numbers 4020/324, 2532/281 is

GCF of Numerators i.e. for 4020,2532 is 12

LCM of denominators i.e. for 324,281 is 91044.

Thus, GCF of Fractions is 12/91044.Finally, GCF of Fractions for 4020/324, 2532/281 is 12/91044.