Greatest Common Factor of 9003/58, 5702/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9003/58, 5702/128

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 9003/58,5702/128

Given fractions are 9003/58,5702/128

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 9003,5702

Greatest Common Factor of Numerators i.e. GCF of 9003,5702 is 1 .

LCM of Denominators means LCM of 58,128 as per the given fractions.

LCM of 58,128 is 3712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9003,5702

GCF of Fractions 9003/58,5702/128 is 1/3712

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

Greatest Common Factor of 9003,5702 By Matching Biggest Common Factor Method

Greatest Common Factor of 9003,5702 By Matching Biggest Common Factor Method

Factors of 9003

List of positive integer factors of 9003 that divides 9003 without a remainder.

1,3,3001,9003

Factors of 5702

List of positive integer factors of 5702 that divides 5702 without a remainder.

1,2,2851,5702

Greatest Common Factor

We found the factors 9003,5702 . The biggest common factor number is the GCF number.
So the greatest common factor 9003,5702 is 1.

Lets's calculate LCM of 58,128

2 58, 128
29, 64

∴ So the LCM of the given numbers is 2 x 29 x 64 = 3712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3712

Therefore, the GCF of Fractions 9003/58,5702/128 is 1/3712

Least Common Multiple of 58,128 with GCF Formula

Least Common Multiple of 58,128 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 58,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,128) = 2

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

GCF(58,128) x common factors =2 x 1 = 2

LCM(58,128) = ( 58 × 128 ) / 2

LCM(58,128) = 7424 / 2

LCM(58,128) = 3712


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 9003/58, 5702/128

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 9003/58, 5702/128?

Answer: GCF of Numerators as per given numbers 9003/58, 5702/128 is

GCF of Numerators i.e. for 9003,5702 is 1

LCM of denominators i.e. for 58,128 is 3712.

Thus, GCF of Fractions is 1/3712.Finally, GCF of Fractions for 9003/58, 5702/128 is 1/3712.