Greatest Common Factor of 6993/651, 5994/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6993/651, 5994/451

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 6993/651,5994/451

Given fractions are 6993/651,5994/451

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 6993,5994

Greatest Common Factor of Numerators i.e. GCF of 6993,5994 is 999 .

LCM of Denominators means LCM of 651,451 as per the given fractions.

LCM of 651,451 is 293601 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6993,5994

GCF of Fractions 6993/651,5994/451 is 999/293601

3 6993, 5994
3 2331, 1998
3 777, 666
37 259, 222
7, 6

∴ So the GCF of the given numbers is 3 x 3 x 3 x 37 = 999

Greatest Common Factor of 6993,5994 By Matching Biggest Common Factor Method

Greatest Common Factor of 6993,5994 By Matching Biggest Common Factor Method

Factors of 6993

List of positive integer factors of 6993 that divides 6993 without a remainder.

1,3,7,9,21,27,37,63,111,189,259,333,777,999,2331,6993

Factors of 5994

List of positive integer factors of 5994 that divides 5994 without a remainder.

1,2,3,6,9,18,27,37,54,74,81,111,162,222,333,666,999,1998,2997,5994

Greatest Common Factor

We found the factors 6993,5994 . The biggest common factor number is the GCF number.
So the greatest common factor 6993,5994 is 999.

Lets's calculate LCM of 651,451

Given numbers has no common factors except 1. So, there LCM is their product i.e 293601

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 999/293601

Therefore, the GCF of Fractions 6993/651,5994/451 is 999/293601

Least Common Multiple of 651,451 with GCF Formula

Least Common Multiple of 651,451 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 651,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(651,451) = 1

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

GCF(651,451) x common factors =1 x 1 = 1

LCM(651,451) = ( 651 × 451 ) / 1

LCM(651,451) = 293601 / 1

LCM(651,451) = 293601


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 6993/651, 5994/451

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 6993/651, 5994/451?

Answer: GCF of Numerators as per given numbers 6993/651, 5994/451 is

GCF of Numerators i.e. for 6993,5994 is 999

LCM of denominators i.e. for 651,451 is 293601.

Thus, GCF of Fractions is 999/293601.Finally, GCF of Fractions for 6993/651, 5994/451 is 999/293601.