Greatest Common Factor of 7554/97, 2433/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7554/97, 2433/672

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 7554/97,2433/672

Given fractions are 7554/97,2433/672

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 7554,2433

Greatest Common Factor of Numerators i.e. GCF of 7554,2433 is 3 .

LCM of Denominators means LCM of 97,672 as per the given fractions.

LCM of 97,672 is 65184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7554,2433

GCF of Fractions 7554/97,2433/672 is 3/65184

3 7554, 2433
2518, 811

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

Greatest Common Factor of 7554,2433 By Matching Biggest Common Factor Method

Greatest Common Factor of 7554,2433 By Matching Biggest Common Factor Method

Factors of 7554

List of positive integer factors of 7554 that divides 7554 without a remainder.

1,2,3,6,1259,2518,3777,7554

Factors of 2433

List of positive integer factors of 2433 that divides 2433 without a remainder.

1,3,811,2433

Greatest Common Factor

We found the factors 7554,2433 . The biggest common factor number is the GCF number.
So the greatest common factor 7554,2433 is 3.

Lets's calculate LCM of 97,672

Given numbers has no common factors except 1. So, there LCM is their product i.e 65184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/65184

Therefore, the GCF of Fractions 7554/97,2433/672 is 3/65184

Least Common Multiple of 97,672 with GCF Formula

Least Common Multiple of 97,672 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 97,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,672) = 1

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

GCF(97,672) x common factors =1 x 1 = 1

LCM(97,672) = ( 97 × 672 ) / 1

LCM(97,672) = 65184 / 1

LCM(97,672) = 65184


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 7554/97, 2433/672

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 7554/97, 2433/672?

Answer: GCF of Numerators as per given numbers 7554/97, 2433/672 is

GCF of Numerators i.e. for 7554,2433 is 3

LCM of denominators i.e. for 97,672 is 65184.

Thus, GCF of Fractions is 3/65184.Finally, GCF of Fractions for 7554/97, 2433/672 is 3/65184.