Greatest Common Factor of 229/900, 7598/9176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 229/900, 7598/9176

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 229/900,7598/9176

Given fractions are 229/900,7598/9176

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 229,7598

Greatest Common Factor of Numerators i.e. GCF of 229,7598 is 1 .

LCM of Denominators means LCM of 900,9176 as per the given fractions.

LCM of 900,9176 is 2064600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 229,7598

GCF of Fractions 229/900,7598/9176 is 1/2064600

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

Greatest Common Factor of 229,7598 By Matching Biggest Common Factor Method

Greatest Common Factor of 229,7598 By Matching Biggest Common Factor Method

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 7598

List of positive integer factors of 7598 that divides 7598 without a remainder.

1,2,29,58,131,262,3799,7598

Greatest Common Factor

We found the factors 229,7598 . The biggest common factor number is the GCF number.
So the greatest common factor 229,7598 is 1.

Lets's calculate LCM of 900,9176

2 900, 9176
2 450, 4588
225, 2294

∴ So the LCM of the given numbers is 2 x 2 x 225 x 2294 = 2064600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2064600

Therefore, the GCF of Fractions 229/900,7598/9176 is 1/2064600

Least Common Multiple of 900,9176 with GCF Formula

Least Common Multiple of 900,9176 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 900,9176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,9176) = 4

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

GCF(900,9176) x common factors =4 x 1 = 4

LCM(900,9176) = ( 900 × 9176 ) / 4

LCM(900,9176) = 8258400 / 4

LCM(900,9176) = 2064600


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 229/900, 7598/9176

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 229/900, 7598/9176?

Answer: GCF of Numerators as per given numbers 229/900, 7598/9176 is

GCF of Numerators i.e. for 229,7598 is 1

LCM of denominators i.e. for 900,9176 is 2064600.

Thus, GCF of Fractions is 1/2064600.Finally, GCF of Fractions for 229/900, 7598/9176 is 1/2064600.