Greatest Common Factor of 9967/543, 3003/1227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9967/543, 3003/1227

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 9967/543,3003/1227

Given fractions are 9967/543,3003/1227

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 9967,3003

Greatest Common Factor of Numerators i.e. GCF of 9967,3003 is 1 .

LCM of Denominators means LCM of 543,1227 as per the given fractions.

LCM of 543,1227 is 222087 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9967,3003

GCF of Fractions 9967/543,3003/1227 is 1/222087

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

Greatest Common Factor of 9967,3003 By Matching Biggest Common Factor Method

Greatest Common Factor of 9967,3003 By Matching Biggest Common Factor Method

Factors of 9967

List of positive integer factors of 9967 that divides 9967 without a remainder.

1,9967

Factors of 3003

List of positive integer factors of 3003 that divides 3003 without a remainder.

1,3,7,11,13,21,33,39,77,91,143,231,273,429,1001,3003

Greatest Common Factor

We found the factors 9967,3003 . The biggest common factor number is the GCF number.
So the greatest common factor 9967,3003 is 1.

Lets's calculate LCM of 543,1227

3 543, 1227
181, 409

∴ So the LCM of the given numbers is 3 x 181 x 409 = 222087

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222087

Therefore, the GCF of Fractions 9967/543,3003/1227 is 1/222087

Least Common Multiple of 543,1227 with GCF Formula

Least Common Multiple of 543,1227 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 543,1227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,1227) = 3

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

GCF(543,1227) x common factors =3 x 1 = 3

LCM(543,1227) = ( 543 × 1227 ) / 3

LCM(543,1227) = 666261 / 3

LCM(543,1227) = 222087


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 9967/543, 3003/1227

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 9967/543, 3003/1227?

Answer: GCF of Numerators as per given numbers 9967/543, 3003/1227 is

GCF of Numerators i.e. for 9967,3003 is 1

LCM of denominators i.e. for 543,1227 is 222087.

Thus, GCF of Fractions is 1/222087.Finally, GCF of Fractions for 9967/543, 3003/1227 is 1/222087.