Greatest Common Factor of 6543/123, 9601/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6543/123, 9601/332

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 6543/123,9601/332

Given fractions are 6543/123,9601/332

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 6543,9601

Greatest Common Factor of Numerators i.e. GCF of 6543,9601 is 1 .

LCM of Denominators means LCM of 123,332 as per the given fractions.

LCM of 123,332 is 40836 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6543,9601

GCF of Fractions 6543/123,9601/332 is 1/40836

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

Greatest Common Factor of 6543,9601 By Matching Biggest Common Factor Method

Greatest Common Factor of 6543,9601 By Matching Biggest Common Factor Method

Factors of 6543

List of positive integer factors of 6543 that divides 6543 without a remainder.

1,3,9,727,2181,6543

Factors of 9601

List of positive integer factors of 9601 that divides 9601 without a remainder.

1,9601

Greatest Common Factor

We found the factors 6543,9601 . The biggest common factor number is the GCF number.
So the greatest common factor 6543,9601 is 1.

Lets's calculate LCM of 123,332

Given numbers has no common factors except 1. So, there LCM is their product i.e 40836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40836

Therefore, the GCF of Fractions 6543/123,9601/332 is 1/40836

Least Common Multiple of 123,332 with GCF Formula

Least Common Multiple of 123,332 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 123,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,332) = 1

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

GCF(123,332) x common factors =1 x 1 = 1

LCM(123,332) = ( 123 × 332 ) / 1

LCM(123,332) = 40836 / 1

LCM(123,332) = 40836


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 6543/123, 9601/332

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 6543/123, 9601/332?

Answer: GCF of Numerators as per given numbers 6543/123, 9601/332 is

GCF of Numerators i.e. for 6543,9601 is 1

LCM of denominators i.e. for 123,332 is 40836.

Thus, GCF of Fractions is 1/40836.Finally, GCF of Fractions for 6543/123, 9601/332 is 1/40836.