Greatest Common Factor of 6084/427, 1572/8544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6084/427, 1572/8544

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 6084/427,1572/8544

Given fractions are 6084/427,1572/8544

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 6084,1572

Greatest Common Factor of Numerators i.e. GCF of 6084,1572 is 12 .

LCM of Denominators means LCM of 427,8544 as per the given fractions.

LCM of 427,8544 is 3648288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6084,1572

GCF of Fractions 6084/427,1572/8544 is 12/3648288

2 6084, 1572
2 3042, 786
3 1521, 393
507, 131

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

Greatest Common Factor of 6084,1572 By Matching Biggest Common Factor Method

Greatest Common Factor of 6084,1572 By Matching Biggest Common Factor Method

Factors of 6084

List of positive integer factors of 6084 that divides 6084 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,169,234,338,468,507,676,1014,1521,2028,3042,6084

Factors of 1572

List of positive integer factors of 1572 that divides 1572 without a remainder.

1,2,3,4,6,12,131,262,393,524,786,1572

Greatest Common Factor

We found the factors 6084,1572 . The biggest common factor number is the GCF number.
So the greatest common factor 6084,1572 is 12.

Lets's calculate LCM of 427,8544

Given numbers has no common factors except 1. So, there LCM is their product i.e 3648288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3648288

Therefore, the GCF of Fractions 6084/427,1572/8544 is 12/3648288

Least Common Multiple of 427,8544 with GCF Formula

Least Common Multiple of 427,8544 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 427,8544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,8544) = 1

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

GCF(427,8544) x common factors =1 x 1 = 1

LCM(427,8544) = ( 427 × 8544 ) / 1

LCM(427,8544) = 3648288 / 1

LCM(427,8544) = 3648288


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 6084/427, 1572/8544

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 6084/427, 1572/8544?

Answer: GCF of Numerators as per given numbers 6084/427, 1572/8544 is

GCF of Numerators i.e. for 6084,1572 is 12

LCM of denominators i.e. for 427,8544 is 3648288.

Thus, GCF of Fractions is 12/3648288.Finally, GCF of Fractions for 6084/427, 1572/8544 is 12/3648288.