Greatest Common Factor of 8997/203, 1431/4546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8997/203, 1431/4546

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 8997/203,1431/4546

Given fractions are 8997/203,1431/4546

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 8997,1431

Greatest Common Factor of Numerators i.e. GCF of 8997,1431 is 3 .

LCM of Denominators means LCM of 203,4546 as per the given fractions.

LCM of 203,4546 is 922838 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8997,1431

GCF of Fractions 8997/203,1431/4546 is 3/922838

3 8997, 1431
2999, 477

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

Greatest Common Factor of 8997,1431 By Matching Biggest Common Factor Method

Greatest Common Factor of 8997,1431 By Matching Biggest Common Factor Method

Factors of 8997

List of positive integer factors of 8997 that divides 8997 without a remainder.

1,3,2999,8997

Factors of 1431

List of positive integer factors of 1431 that divides 1431 without a remainder.

1,3,9,27,53,159,477,1431

Greatest Common Factor

We found the factors 8997,1431 . The biggest common factor number is the GCF number.
So the greatest common factor 8997,1431 is 3.

Lets's calculate LCM of 203,4546

Given numbers has no common factors except 1. So, there LCM is their product i.e 922838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/922838

Therefore, the GCF of Fractions 8997/203,1431/4546 is 3/922838

Least Common Multiple of 203,4546 with GCF Formula

Least Common Multiple of 203,4546 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 203,4546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(203,4546) = 1

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

GCF(203,4546) x common factors =1 x 1 = 1

LCM(203,4546) = ( 203 × 4546 ) / 1

LCM(203,4546) = 922838 / 1

LCM(203,4546) = 922838


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 8997/203, 1431/4546

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 8997/203, 1431/4546?

Answer: GCF of Numerators as per given numbers 8997/203, 1431/4546 is

GCF of Numerators i.e. for 8997,1431 is 3

LCM of denominators i.e. for 203,4546 is 922838.

Thus, GCF of Fractions is 3/922838.Finally, GCF of Fractions for 8997/203, 1431/4546 is 3/922838.