Greatest Common Factor of 6825/428, 7584/6818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6825/428, 7584/6818

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 6825/428,7584/6818

Given fractions are 6825/428,7584/6818

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 6825,7584

Greatest Common Factor of Numerators i.e. GCF of 6825,7584 is 3 .

LCM of Denominators means LCM of 428,6818 as per the given fractions.

LCM of 428,6818 is 1459052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6825,7584

GCF of Fractions 6825/428,7584/6818 is 3/1459052

3 6825, 7584
2275, 2528

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

Greatest Common Factor of 6825,7584 By Matching Biggest Common Factor Method

Greatest Common Factor of 6825,7584 By Matching Biggest Common Factor Method

Factors of 6825

List of positive integer factors of 6825 that divides 6825 without a remainder.

1,3,5,7,13,15,21,25,35,39,65,75,91,105,175,195,273,325,455,525,975,1365,2275,6825

Factors of 7584

List of positive integer factors of 7584 that divides 7584 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584

Greatest Common Factor

We found the factors 6825,7584 . The biggest common factor number is the GCF number.
So the greatest common factor 6825,7584 is 3.

Lets's calculate LCM of 428,6818

2 428, 6818
214, 3409

∴ So the LCM of the given numbers is 2 x 214 x 3409 = 1459052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1459052

Therefore, the GCF of Fractions 6825/428,7584/6818 is 3/1459052

Least Common Multiple of 428,6818 with GCF Formula

Least Common Multiple of 428,6818 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 428,6818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,6818) = 2

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

GCF(428,6818) x common factors =2 x 1 = 2

LCM(428,6818) = ( 428 × 6818 ) / 2

LCM(428,6818) = 2918104 / 2

LCM(428,6818) = 1459052


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 6825/428, 7584/6818

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 6825/428, 7584/6818?

Answer: GCF of Numerators as per given numbers 6825/428, 7584/6818 is

GCF of Numerators i.e. for 6825,7584 is 3

LCM of denominators i.e. for 428,6818 is 1459052.

Thus, GCF of Fractions is 3/1459052.Finally, GCF of Fractions for 6825/428, 7584/6818 is 3/1459052.