Greatest Common Factor of 453/3305, 138/2978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 453/3305, 138/2978

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 453/3305,138/2978

Given fractions are 453/3305,138/2978

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 453,138

Greatest Common Factor of Numerators i.e. GCF of 453,138 is 3 .

LCM of Denominators means LCM of 3305,2978 as per the given fractions.

LCM of 3305,2978 is 9842290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 453,138

GCF of Fractions 453/3305,138/2978 is 3/9842290

3 453, 138
151, 46

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

Greatest Common Factor of 453,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,138 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 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 453,138 . The biggest common factor number is the GCF number.
So the greatest common factor 453,138 is 3.

Lets's calculate LCM of 3305,2978

Given numbers has no common factors except 1. So, there LCM is their product i.e 9842290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9842290

Therefore, the GCF of Fractions 453/3305,138/2978 is 3/9842290

Least Common Multiple of 3305,2978 with GCF Formula

Least Common Multiple of 3305,2978 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 3305,2978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3305,2978) = 1

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

GCF(3305,2978) x common factors =1 x 1 = 1

LCM(3305,2978) = ( 3305 × 2978 ) / 1

LCM(3305,2978) = 9842290 / 1

LCM(3305,2978) = 9842290


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 453/3305, 138/2978

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 453/3305, 138/2978?

Answer: GCF of Numerators as per given numbers 453/3305, 138/2978 is

GCF of Numerators i.e. for 453,138 is 3

LCM of denominators i.e. for 3305,2978 is 9842290.

Thus, GCF of Fractions is 3/9842290.Finally, GCF of Fractions for 453/3305, 138/2978 is 3/9842290.