Greatest Common Factor of 453/367, 6954/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 453/367, 6954/442

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 453/367,6954/442

Given fractions are 453/367,6954/442

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 453,6954

Greatest Common Factor of Numerators i.e. GCF of 453,6954 is 3 .

LCM of Denominators means LCM of 367,442 as per the given fractions.

LCM of 367,442 is 162214 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 453,6954

GCF of Fractions 453/367,6954/442 is 3/162214

3 453, 6954
151, 2318

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

Greatest Common Factor of 453,6954 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,6954 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 6954

List of positive integer factors of 6954 that divides 6954 without a remainder.

1,2,3,6,19,38,57,61,114,122,183,366,1159,2318,3477,6954

Greatest Common Factor

We found the factors 453,6954 . The biggest common factor number is the GCF number.
So the greatest common factor 453,6954 is 3.

Lets's calculate LCM of 367,442

Given numbers has no common factors except 1. So, there LCM is their product i.e 162214

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/162214

Therefore, the GCF of Fractions 453/367,6954/442 is 3/162214

Least Common Multiple of 367,442 with GCF Formula

Least Common Multiple of 367,442 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 367,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(367,442) = 1

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

GCF(367,442) x common factors =1 x 1 = 1

LCM(367,442) = ( 367 × 442 ) / 1

LCM(367,442) = 162214 / 1

LCM(367,442) = 162214


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 453/367, 6954/442

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 453/367, 6954/442?

Answer: GCF of Numerators as per given numbers 453/367, 6954/442 is

GCF of Numerators i.e. for 453,6954 is 3

LCM of denominators i.e. for 367,442 is 162214.

Thus, GCF of Fractions is 3/162214.Finally, GCF of Fractions for 453/367, 6954/442 is 3/162214.