Greatest Common Factor of 3447/422, 5835/7296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3447/422, 5835/7296

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 3447/422,5835/7296

Given fractions are 3447/422,5835/7296

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 3447,5835

Greatest Common Factor of Numerators i.e. GCF of 3447,5835 is 3 .

LCM of Denominators means LCM of 422,7296 as per the given fractions.

LCM of 422,7296 is 1539456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3447,5835

GCF of Fractions 3447/422,5835/7296 is 3/1539456

3 3447, 5835
1149, 1945

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

Greatest Common Factor of 3447,5835 By Matching Biggest Common Factor Method

Greatest Common Factor of 3447,5835 By Matching Biggest Common Factor Method

Factors of 3447

List of positive integer factors of 3447 that divides 3447 without a remainder.

1,3,9,383,1149,3447

Factors of 5835

List of positive integer factors of 5835 that divides 5835 without a remainder.

1,3,5,15,389,1167,1945,5835

Greatest Common Factor

We found the factors 3447,5835 . The biggest common factor number is the GCF number.
So the greatest common factor 3447,5835 is 3.

Lets's calculate LCM of 422,7296

2 422, 7296
211, 3648

∴ So the LCM of the given numbers is 2 x 211 x 3648 = 1539456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1539456

Therefore, the GCF of Fractions 3447/422,5835/7296 is 3/1539456

Least Common Multiple of 422,7296 with GCF Formula

Least Common Multiple of 422,7296 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 422,7296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,7296) = 2

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

GCF(422,7296) x common factors =2 x 1 = 2

LCM(422,7296) = ( 422 × 7296 ) / 2

LCM(422,7296) = 3078912 / 2

LCM(422,7296) = 1539456


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 3447/422, 5835/7296

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 3447/422, 5835/7296?

Answer: GCF of Numerators as per given numbers 3447/422, 5835/7296 is

GCF of Numerators i.e. for 3447,5835 is 3

LCM of denominators i.e. for 422,7296 is 1539456.

Thus, GCF of Fractions is 3/1539456.Finally, GCF of Fractions for 3447/422, 5835/7296 is 3/1539456.