Greatest Common Factor of 1456/404, 8089/4479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1456/404, 8089/4479

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 1456/404,8089/4479

Given fractions are 1456/404,8089/4479

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 1456,8089

Greatest Common Factor of Numerators i.e. GCF of 1456,8089 is 1 .

LCM of Denominators means LCM of 404,4479 as per the given fractions.

LCM of 404,4479 is 1809516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1456,8089

GCF of Fractions 1456/404,8089/4479 is 1/1809516

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

Greatest Common Factor of 1456,8089 By Matching Biggest Common Factor Method

Greatest Common Factor of 1456,8089 By Matching Biggest Common Factor Method

Factors of 1456

List of positive integer factors of 1456 that divides 1456 without a remainder.

1,2,4,7,8,13,14,16,26,28,52,56,91,104,112,182,208,364,728,1456

Factors of 8089

List of positive integer factors of 8089 that divides 8089 without a remainder.

1,8089

Greatest Common Factor

We found the factors 1456,8089 . The biggest common factor number is the GCF number.
So the greatest common factor 1456,8089 is 1.

Lets's calculate LCM of 404,4479

Given numbers has no common factors except 1. So, there LCM is their product i.e 1809516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1809516

Therefore, the GCF of Fractions 1456/404,8089/4479 is 1/1809516

Least Common Multiple of 404,4479 with GCF Formula

Least Common Multiple of 404,4479 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 404,4479 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,4479) = 1

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

GCF(404,4479) x common factors =1 x 1 = 1

LCM(404,4479) = ( 404 × 4479 ) / 1

LCM(404,4479) = 1809516 / 1

LCM(404,4479) = 1809516


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 1456/404, 8089/4479

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 1456/404, 8089/4479?

Answer: GCF of Numerators as per given numbers 1456/404, 8089/4479 is

GCF of Numerators i.e. for 1456,8089 is 1

LCM of denominators i.e. for 404,4479 is 1809516.

Thus, GCF of Fractions is 1/1809516.Finally, GCF of Fractions for 1456/404, 8089/4479 is 1/1809516.