Greatest Common Factor of 6483/972, 5991/7988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6483/972, 5991/7988

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 6483/972,5991/7988

Given fractions are 6483/972,5991/7988

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 6483,5991

Greatest Common Factor of Numerators i.e. GCF of 6483,5991 is 3 .

LCM of Denominators means LCM of 972,7988 as per the given fractions.

LCM of 972,7988 is 1941084 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6483,5991

GCF of Fractions 6483/972,5991/7988 is 3/1941084

3 6483, 5991
2161, 1997

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

Greatest Common Factor of 6483,5991 By Matching Biggest Common Factor Method

Greatest Common Factor of 6483,5991 By Matching Biggest Common Factor Method

Factors of 6483

List of positive integer factors of 6483 that divides 6483 without a remainder.

1,3,2161,6483

Factors of 5991

List of positive integer factors of 5991 that divides 5991 without a remainder.

1,3,1997,5991

Greatest Common Factor

We found the factors 6483,5991 . The biggest common factor number is the GCF number.
So the greatest common factor 6483,5991 is 3.

Lets's calculate LCM of 972,7988

2 972, 7988
2 486, 3994
243, 1997

∴ So the LCM of the given numbers is 2 x 2 x 243 x 1997 = 1941084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1941084

Therefore, the GCF of Fractions 6483/972,5991/7988 is 3/1941084

Least Common Multiple of 972,7988 with GCF Formula

Least Common Multiple of 972,7988 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 972,7988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,7988) = 4

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

GCF(972,7988) x common factors =4 x 1 = 4

LCM(972,7988) = ( 972 × 7988 ) / 4

LCM(972,7988) = 7764336 / 4

LCM(972,7988) = 1941084


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 6483/972, 5991/7988

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 6483/972, 5991/7988?

Answer: GCF of Numerators as per given numbers 6483/972, 5991/7988 is

GCF of Numerators i.e. for 6483,5991 is 3

LCM of denominators i.e. for 972,7988 is 1941084.

Thus, GCF of Fractions is 3/1941084.Finally, GCF of Fractions for 6483/972, 5991/7988 is 3/1941084.