Greatest Common Factor of 2678/33, 4405/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2678/33, 4405/852

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 2678/33,4405/852

Given fractions are 2678/33,4405/852

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 2678,4405

Greatest Common Factor of Numerators i.e. GCF of 2678,4405 is 1 .

LCM of Denominators means LCM of 33,852 as per the given fractions.

LCM of 33,852 is 9372 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2678,4405

GCF of Fractions 2678/33,4405/852 is 1/9372

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

Greatest Common Factor of 2678,4405 By Matching Biggest Common Factor Method

Greatest Common Factor of 2678,4405 By Matching Biggest Common Factor Method

Factors of 2678

List of positive integer factors of 2678 that divides 2678 without a remainder.

1,2,13,26,103,206,1339,2678

Factors of 4405

List of positive integer factors of 4405 that divides 4405 without a remainder.

1,5,881,4405

Greatest Common Factor

We found the factors 2678,4405 . The biggest common factor number is the GCF number.
So the greatest common factor 2678,4405 is 1.

Lets's calculate LCM of 33,852

3 33, 852
11, 284

∴ So the LCM of the given numbers is 3 x 11 x 284 = 9372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9372

Therefore, the GCF of Fractions 2678/33,4405/852 is 1/9372

Least Common Multiple of 33,852 with GCF Formula

Least Common Multiple of 33,852 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 33,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,852) = 3

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

GCF(33,852) x common factors =3 x 1 = 3

LCM(33,852) = ( 33 × 852 ) / 3

LCM(33,852) = 28116 / 3

LCM(33,852) = 9372


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 2678/33, 4405/852

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 2678/33, 4405/852?

Answer: GCF of Numerators as per given numbers 2678/33, 4405/852 is

GCF of Numerators i.e. for 2678,4405 is 1

LCM of denominators i.e. for 33,852 is 9372.

Thus, GCF of Fractions is 1/9372.Finally, GCF of Fractions for 2678/33, 4405/852 is 1/9372.