Greatest Common Factor of 3291/19, 8896/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3291/19, 8896/159

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 3291/19,8896/159

Given fractions are 3291/19,8896/159

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 3291,8896

Greatest Common Factor of Numerators i.e. GCF of 3291,8896 is 1 .

LCM of Denominators means LCM of 19,159 as per the given fractions.

LCM of 19,159 is 3021 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3291,8896

GCF of Fractions 3291/19,8896/159 is 1/3021

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

Greatest Common Factor of 3291,8896 By Matching Biggest Common Factor Method

Greatest Common Factor of 3291,8896 By Matching Biggest Common Factor Method

Factors of 3291

List of positive integer factors of 3291 that divides 3291 without a remainder.

1,3,1097,3291

Factors of 8896

List of positive integer factors of 8896 that divides 8896 without a remainder.

1,2,4,8,16,32,64,139,278,556,1112,2224,4448,8896

Greatest Common Factor

We found the factors 3291,8896 . The biggest common factor number is the GCF number.
So the greatest common factor 3291,8896 is 1.

Lets's calculate LCM of 19,159

Given numbers has no common factors except 1. So, there LCM is their product i.e 3021

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3021

Therefore, the GCF of Fractions 3291/19,8896/159 is 1/3021

Least Common Multiple of 19,159 with GCF Formula

Least Common Multiple of 19,159 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 19,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,159) = 1

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

GCF(19,159) x common factors =1 x 1 = 1

LCM(19,159) = ( 19 × 159 ) / 1

LCM(19,159) = 3021 / 1

LCM(19,159) = 3021


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 3291/19, 8896/159

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 3291/19, 8896/159?

Answer: GCF of Numerators as per given numbers 3291/19, 8896/159 is

GCF of Numerators i.e. for 3291,8896 is 1

LCM of denominators i.e. for 19,159 is 3021.

Thus, GCF of Fractions is 1/3021.Finally, GCF of Fractions for 3291/19, 8896/159 is 1/3021.