Greatest Common Factor of 9008/745, 5609/4326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9008/745, 5609/4326

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 9008/745,5609/4326

Given fractions are 9008/745,5609/4326

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 9008,5609

Greatest Common Factor of Numerators i.e. GCF of 9008,5609 is 1 .

LCM of Denominators means LCM of 745,4326 as per the given fractions.

LCM of 745,4326 is 3222870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9008,5609

GCF of Fractions 9008/745,5609/4326 is 1/3222870

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

Greatest Common Factor of 9008,5609 By Matching Biggest Common Factor Method

Greatest Common Factor of 9008,5609 By Matching Biggest Common Factor Method

Factors of 9008

List of positive integer factors of 9008 that divides 9008 without a remainder.

1,2,4,8,16,563,1126,2252,4504,9008

Factors of 5609

List of positive integer factors of 5609 that divides 5609 without a remainder.

1,71,79,5609

Greatest Common Factor

We found the factors 9008,5609 . The biggest common factor number is the GCF number.
So the greatest common factor 9008,5609 is 1.

Lets's calculate LCM of 745,4326

Given numbers has no common factors except 1. So, there LCM is their product i.e 3222870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3222870

Therefore, the GCF of Fractions 9008/745,5609/4326 is 1/3222870

Least Common Multiple of 745,4326 with GCF Formula

Least Common Multiple of 745,4326 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 745,4326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,4326) = 1

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

GCF(745,4326) x common factors =1 x 1 = 1

LCM(745,4326) = ( 745 × 4326 ) / 1

LCM(745,4326) = 3222870 / 1

LCM(745,4326) = 3222870


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 9008/745, 5609/4326

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 9008/745, 5609/4326?

Answer: GCF of Numerators as per given numbers 9008/745, 5609/4326 is

GCF of Numerators i.e. for 9008,5609 is 1

LCM of denominators i.e. for 745,4326 is 3222870.

Thus, GCF of Fractions is 1/3222870.Finally, GCF of Fractions for 9008/745, 5609/4326 is 1/3222870.