Greatest Common Factor of 6351/32, 8945/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6351/32, 8945/738

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 6351/32,8945/738

Given fractions are 6351/32,8945/738

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 6351,8945

Greatest Common Factor of Numerators i.e. GCF of 6351,8945 is 1 .

LCM of Denominators means LCM of 32,738 as per the given fractions.

LCM of 32,738 is 11808 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6351,8945

GCF of Fractions 6351/32,8945/738 is 1/11808

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

Greatest Common Factor of 6351,8945 By Matching Biggest Common Factor Method

Greatest Common Factor of 6351,8945 By Matching Biggest Common Factor Method

Factors of 6351

List of positive integer factors of 6351 that divides 6351 without a remainder.

1,3,29,73,87,219,2117,6351

Factors of 8945

List of positive integer factors of 8945 that divides 8945 without a remainder.

1,5,1789,8945

Greatest Common Factor

We found the factors 6351,8945 . The biggest common factor number is the GCF number.
So the greatest common factor 6351,8945 is 1.

Lets's calculate LCM of 32,738

2 32, 738
16, 369

∴ So the LCM of the given numbers is 2 x 16 x 369 = 11808

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11808

Therefore, the GCF of Fractions 6351/32,8945/738 is 1/11808

Least Common Multiple of 32,738 with GCF Formula

Least Common Multiple of 32,738 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 32,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,738) = 2

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

GCF(32,738) x common factors =2 x 1 = 2

LCM(32,738) = ( 32 × 738 ) / 2

LCM(32,738) = 23616 / 2

LCM(32,738) = 11808


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 6351/32, 8945/738

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 6351/32, 8945/738?

Answer: GCF of Numerators as per given numbers 6351/32, 8945/738 is

GCF of Numerators i.e. for 6351,8945 is 1

LCM of denominators i.e. for 32,738 is 11808.

Thus, GCF of Fractions is 1/11808.Finally, GCF of Fractions for 6351/32, 8945/738 is 1/11808.