Greatest Common Factor of 5967/38, 9676/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5967/38, 9676/336

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 5967/38,9676/336

Given fractions are 5967/38,9676/336

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 5967,9676

Greatest Common Factor of Numerators i.e. GCF of 5967,9676 is 1 .

LCM of Denominators means LCM of 38,336 as per the given fractions.

LCM of 38,336 is 6384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5967,9676

GCF of Fractions 5967/38,9676/336 is 1/6384

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5967,9676 By Matching Biggest Common Factor Method

Greatest Common Factor of 5967,9676 By Matching Biggest Common Factor Method

Factors of 5967

List of positive integer factors of 5967 that divides 5967 without a remainder.

1,3,9,13,17,27,39,51,117,153,221,351,459,663,1989,5967

Factors of 9676

List of positive integer factors of 9676 that divides 9676 without a remainder.

1,2,4,41,59,82,118,164,236,2419,4838,9676

Greatest Common Factor

We found the factors 5967,9676 . The biggest common factor number is the GCF number.
So the greatest common factor 5967,9676 is 1.

Lets's calculate LCM of 38,336

2 38, 336
19, 168

∴ So the LCM of the given numbers is 2 x 19 x 168 = 6384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6384

Therefore, the GCF of Fractions 5967/38,9676/336 is 1/6384

Least Common Multiple of 38,336 with GCF Formula

Least Common Multiple of 38,336 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 38,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,336) = 2

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

GCF(38,336) x common factors =2 x 1 = 2

LCM(38,336) = ( 38 × 336 ) / 2

LCM(38,336) = 12768 / 2

LCM(38,336) = 6384


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 5967/38, 9676/336

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 5967/38, 9676/336?

Answer: GCF of Numerators as per given numbers 5967/38, 9676/336 is

GCF of Numerators i.e. for 5967,9676 is 1

LCM of denominators i.e. for 38,336 is 6384.

Thus, GCF of Fractions is 1/6384.Finally, GCF of Fractions for 5967/38, 9676/336 is 1/6384.