Greatest Common Factor of 6327/876, 1707/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6327/876, 1707/496

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 6327/876,1707/496

Given fractions are 6327/876,1707/496

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 6327,1707

Greatest Common Factor of Numerators i.e. GCF of 6327,1707 is 3 .

LCM of Denominators means LCM of 876,496 as per the given fractions.

LCM of 876,496 is 108624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6327,1707

GCF of Fractions 6327/876,1707/496 is 3/108624

3 6327, 1707
2109, 569

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

Greatest Common Factor of 6327,1707 By Matching Biggest Common Factor Method

Greatest Common Factor of 6327,1707 By Matching Biggest Common Factor Method

Factors of 6327

List of positive integer factors of 6327 that divides 6327 without a remainder.

1,3,9,19,37,57,111,171,333,703,2109,6327

Factors of 1707

List of positive integer factors of 1707 that divides 1707 without a remainder.

1,3,569,1707

Greatest Common Factor

We found the factors 6327,1707 . The biggest common factor number is the GCF number.
So the greatest common factor 6327,1707 is 3.

Lets's calculate LCM of 876,496

2 876, 496
2 438, 248
219, 124

∴ So the LCM of the given numbers is 2 x 2 x 219 x 124 = 108624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/108624

Therefore, the GCF of Fractions 6327/876,1707/496 is 3/108624

Least Common Multiple of 876,496 with GCF Formula

Least Common Multiple of 876,496 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 876,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,496) = 4

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

GCF(876,496) x common factors =4 x 1 = 4

LCM(876,496) = ( 876 × 496 ) / 4

LCM(876,496) = 434496 / 4

LCM(876,496) = 108624


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 6327/876, 1707/496

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 6327/876, 1707/496?

Answer: GCF of Numerators as per given numbers 6327/876, 1707/496 is

GCF of Numerators i.e. for 6327,1707 is 3

LCM of denominators i.e. for 876,496 is 108624.

Thus, GCF of Fractions is 3/108624.Finally, GCF of Fractions for 6327/876, 1707/496 is 3/108624.