Greatest Common Factor of 4914/91, 6327/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4914/91, 6327/383

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 4914/91,6327/383

Given fractions are 4914/91,6327/383

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 4914,6327

Greatest Common Factor of Numerators i.e. GCF of 4914,6327 is 9 .

LCM of Denominators means LCM of 91,383 as per the given fractions.

LCM of 91,383 is 34853 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4914,6327

GCF of Fractions 4914/91,6327/383 is 9/34853

3 4914, 6327
3 1638, 2109
546, 703

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 4914,6327 By Matching Biggest Common Factor Method

Greatest Common Factor of 4914,6327 By Matching Biggest Common Factor Method

Factors of 4914

List of positive integer factors of 4914 that divides 4914 without a remainder.

1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914

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

Greatest Common Factor

We found the factors 4914,6327 . The biggest common factor number is the GCF number.
So the greatest common factor 4914,6327 is 9.

Lets's calculate LCM of 91,383

Given numbers has no common factors except 1. So, there LCM is their product i.e 34853

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/34853

Therefore, the GCF of Fractions 4914/91,6327/383 is 9/34853

Least Common Multiple of 91,383 with GCF Formula

Least Common Multiple of 91,383 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 91,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,383) = 1

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

GCF(91,383) x common factors =1 x 1 = 1

LCM(91,383) = ( 91 × 383 ) / 1

LCM(91,383) = 34853 / 1

LCM(91,383) = 34853


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 4914/91, 6327/383

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 4914/91, 6327/383?

Answer: GCF of Numerators as per given numbers 4914/91, 6327/383 is

GCF of Numerators i.e. for 4914,6327 is 9

LCM of denominators i.e. for 91,383 is 34853.

Thus, GCF of Fractions is 9/34853.Finally, GCF of Fractions for 4914/91, 6327/383 is 9/34853.