Greatest Common Factor of 3059/32, 9264/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3059/32, 9264/718

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 3059/32,9264/718

Given fractions are 3059/32,9264/718

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 3059,9264

Greatest Common Factor of Numerators i.e. GCF of 3059,9264 is 1 .

LCM of Denominators means LCM of 32,718 as per the given fractions.

LCM of 32,718 is 11488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3059,9264

GCF of Fractions 3059/32,9264/718 is 1/11488

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

Greatest Common Factor of 3059,9264 By Matching Biggest Common Factor Method

Greatest Common Factor of 3059,9264 By Matching Biggest Common Factor Method

Factors of 3059

List of positive integer factors of 3059 that divides 3059 without a remainder.

1,7,19,23,133,161,437,3059

Factors of 9264

List of positive integer factors of 9264 that divides 9264 without a remainder.

1,2,3,4,6,8,12,16,24,48,193,386,579,772,1158,1544,2316,3088,4632,9264

Greatest Common Factor

We found the factors 3059,9264 . The biggest common factor number is the GCF number.
So the greatest common factor 3059,9264 is 1.

Lets's calculate LCM of 32,718

2 32, 718
16, 359

∴ So the LCM of the given numbers is 2 x 16 x 359 = 11488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11488

Therefore, the GCF of Fractions 3059/32,9264/718 is 1/11488

Least Common Multiple of 32,718 with GCF Formula

Least Common Multiple of 32,718 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 32,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,718) = 2

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

GCF(32,718) x common factors =2 x 1 = 2

LCM(32,718) = ( 32 × 718 ) / 2

LCM(32,718) = 22976 / 2

LCM(32,718) = 11488


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 3059/32, 9264/718

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 3059/32, 9264/718?

Answer: GCF of Numerators as per given numbers 3059/32, 9264/718 is

GCF of Numerators i.e. for 3059,9264 is 1

LCM of denominators i.e. for 32,718 is 11488.

Thus, GCF of Fractions is 1/11488.Finally, GCF of Fractions for 3059/32, 9264/718 is 1/11488.