Greatest Common Factor of 324/342, 3057/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 324/342, 3057/581

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 324/342,3057/581

Given fractions are 324/342,3057/581

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 324,3057

Greatest Common Factor of Numerators i.e. GCF of 324,3057 is 3 .

LCM of Denominators means LCM of 342,581 as per the given fractions.

LCM of 342,581 is 198702 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 324,3057

GCF of Fractions 324/342,3057/581 is 3/198702

3 324, 3057
108, 1019

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

Greatest Common Factor of 324,3057 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,3057 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 3057

List of positive integer factors of 3057 that divides 3057 without a remainder.

1,3,1019,3057

Greatest Common Factor

We found the factors 324,3057 . The biggest common factor number is the GCF number.
So the greatest common factor 324,3057 is 3.

Lets's calculate LCM of 342,581

Given numbers has no common factors except 1. So, there LCM is their product i.e 198702

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/198702

Therefore, the GCF of Fractions 324/342,3057/581 is 3/198702

Least Common Multiple of 342,581 with GCF Formula

Least Common Multiple of 342,581 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 342,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,581) = 1

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

GCF(342,581) x common factors =1 x 1 = 1

LCM(342,581) = ( 342 × 581 ) / 1

LCM(342,581) = 198702 / 1

LCM(342,581) = 198702


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 324/342, 3057/581

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 324/342, 3057/581?

Answer: GCF of Numerators as per given numbers 324/342, 3057/581 is

GCF of Numerators i.e. for 324,3057 is 3

LCM of denominators i.e. for 342,581 is 198702.

Thus, GCF of Fractions is 3/198702.Finally, GCF of Fractions for 324/342, 3057/581 is 3/198702.