Greatest Common Factor of 9078/33, 6579/451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9078/33, 6579/451

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 9078/33,6579/451

Given fractions are 9078/33,6579/451

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 9078,6579

Greatest Common Factor of Numerators i.e. GCF of 9078,6579 is 51 .

LCM of Denominators means LCM of 33,451 as per the given fractions.

LCM of 33,451 is 1353 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9078,6579

GCF of Fractions 9078/33,6579/451 is 51/1353

3 9078, 6579
17 3026, 2193
178, 129

∴ So the GCF of the given numbers is 3 x 17 = 51

Greatest Common Factor of 9078,6579 By Matching Biggest Common Factor Method

Greatest Common Factor of 9078,6579 By Matching Biggest Common Factor Method

Factors of 9078

List of positive integer factors of 9078 that divides 9078 without a remainder.

1,2,3,6,17,34,51,89,102,178,267,534,1513,3026,4539,9078

Factors of 6579

List of positive integer factors of 6579 that divides 6579 without a remainder.

1,3,9,17,43,51,129,153,387,731,2193,6579

Greatest Common Factor

We found the factors 9078,6579 . The biggest common factor number is the GCF number.
So the greatest common factor 9078,6579 is 51.

Lets's calculate LCM of 33,451

11 33, 451
3, 41

∴ So the LCM of the given numbers is 11 x 3 x 41 = 1353

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/1353

Therefore, the GCF of Fractions 9078/33,6579/451 is 51/1353

Least Common Multiple of 33,451 with GCF Formula

Least Common Multiple of 33,451 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 33,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,451) = 11

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

GCF(33,451) x common factors =11 x 1 = 11

LCM(33,451) = ( 33 × 451 ) / 11

LCM(33,451) = 14883 / 11

LCM(33,451) = 1353


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 9078/33, 6579/451

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 9078/33, 6579/451?

Answer: GCF of Numerators as per given numbers 9078/33, 6579/451 is

GCF of Numerators i.e. for 9078,6579 is 51

LCM of denominators i.e. for 33,451 is 1353.

Thus, GCF of Fractions is 51/1353.Finally, GCF of Fractions for 9078/33, 6579/451 is 51/1353.