Greatest Common Factor of 5052/24, 6586/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5052/24, 6586/300

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 5052/24,6586/300

Given fractions are 5052/24,6586/300

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 5052,6586

Greatest Common Factor of Numerators i.e. GCF of 5052,6586 is 2 .

LCM of Denominators means LCM of 24,300 as per the given fractions.

LCM of 24,300 is 600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5052,6586

GCF of Fractions 5052/24,6586/300 is 2/600

2 5052, 6586
2526, 3293

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

Greatest Common Factor of 5052,6586 By Matching Biggest Common Factor Method

Greatest Common Factor of 5052,6586 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 6586

List of positive integer factors of 6586 that divides 6586 without a remainder.

1,2,37,74,89,178,3293,6586

Greatest Common Factor

We found the factors 5052,6586 . The biggest common factor number is the GCF number.
So the greatest common factor 5052,6586 is 2.

Lets's calculate LCM of 24,300

2 24, 300
2 12, 150
3 6, 75
2, 25

∴ So the LCM of the given numbers is 2 x 2 x 3 x 2 x 25 = 600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/600

Therefore, the GCF of Fractions 5052/24,6586/300 is 2/600

Least Common Multiple of 24,300 with GCF Formula

Least Common Multiple of 24,300 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 24,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,300) = 12

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

GCF(24,300) x common factors =12 x 1 = 12

LCM(24,300) = ( 24 × 300 ) / 12

LCM(24,300) = 7200 / 12

LCM(24,300) = 600


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 5052/24, 6586/300

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 5052/24, 6586/300?

Answer: GCF of Numerators as per given numbers 5052/24, 6586/300 is

GCF of Numerators i.e. for 5052,6586 is 2

LCM of denominators i.e. for 24,300 is 600.

Thus, GCF of Fractions is 2/600.Finally, GCF of Fractions for 5052/24, 6586/300 is 2/600.