Greatest Common Factor of 7554/852, 8032/3313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7554/852, 8032/3313

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 7554/852,8032/3313

Given fractions are 7554/852,8032/3313

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 7554,8032

Greatest Common Factor of Numerators i.e. GCF of 7554,8032 is 2 .

LCM of Denominators means LCM of 852,3313 as per the given fractions.

LCM of 852,3313 is 2822676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7554,8032

GCF of Fractions 7554/852,8032/3313 is 2/2822676

2 7554, 8032
3777, 4016

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7554,8032 By Matching Biggest Common Factor Method

Greatest Common Factor of 7554,8032 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 8032

List of positive integer factors of 8032 that divides 8032 without a remainder.

1,2,4,8,16,32,251,502,1004,2008,4016,8032

Greatest Common Factor

We found the factors 7554,8032 . The biggest common factor number is the GCF number.
So the greatest common factor 7554,8032 is 2.

Lets's calculate LCM of 852,3313

Given numbers has no common factors except 1. So, there LCM is their product i.e 2822676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2822676

Therefore, the GCF of Fractions 7554/852,8032/3313 is 2/2822676

Least Common Multiple of 852,3313 with GCF Formula

Least Common Multiple of 852,3313 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 852,3313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,3313) = 1

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

GCF(852,3313) x common factors =1 x 1 = 1

LCM(852,3313) = ( 852 × 3313 ) / 1

LCM(852,3313) = 2822676 / 1

LCM(852,3313) = 2822676


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 7554/852, 8032/3313

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 7554/852, 8032/3313?

Answer: GCF of Numerators as per given numbers 7554/852, 8032/3313 is

GCF of Numerators i.e. for 7554,8032 is 2

LCM of denominators i.e. for 852,3313 is 2822676.

Thus, GCF of Fractions is 2/2822676.Finally, GCF of Fractions for 7554/852, 8032/3313 is 2/2822676.