Greatest Common Factor of 5052/152, 7821/2329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5052/152, 7821/2329

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 5052/152,7821/2329

Given fractions are 5052/152,7821/2329

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 5052,7821

Greatest Common Factor of Numerators i.e. GCF of 5052,7821 is 3 .

LCM of Denominators means LCM of 152,2329 as per the given fractions.

LCM of 152,2329 is 354008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5052,7821

GCF of Fractions 5052/152,7821/2329 is 3/354008

3 5052, 7821
1684, 2607

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

Greatest Common Factor of 5052,7821 By Matching Biggest Common Factor Method

Greatest Common Factor of 5052,7821 By Matching Biggest Common Factor Method

Factors of 5052

List of positive integer factors of 5052 that divides 5052 without a remainder.

1,2,3,4,6,12,421,842,1263,1684,2526,5052

Factors of 7821

List of positive integer factors of 7821 that divides 7821 without a remainder.

1,3,9,11,33,79,99,237,711,869,2607,7821

Greatest Common Factor

We found the factors 5052,7821 . The biggest common factor number is the GCF number.
So the greatest common factor 5052,7821 is 3.

Lets's calculate LCM of 152,2329

Given numbers has no common factors except 1. So, there LCM is their product i.e 354008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/354008

Therefore, the GCF of Fractions 5052/152,7821/2329 is 3/354008

Least Common Multiple of 152,2329 with GCF Formula

Least Common Multiple of 152,2329 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 152,2329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,2329) = 1

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

GCF(152,2329) x common factors =1 x 1 = 1

LCM(152,2329) = ( 152 × 2329 ) / 1

LCM(152,2329) = 354008 / 1

LCM(152,2329) = 354008


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 5052/152, 7821/2329

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 5052/152, 7821/2329?

Answer: GCF of Numerators as per given numbers 5052/152, 7821/2329 is

GCF of Numerators i.e. for 5052,7821 is 3

LCM of denominators i.e. for 152,2329 is 354008.

Thus, GCF of Fractions is 3/354008.Finally, GCF of Fractions for 5052/152, 7821/2329 is 3/354008.