Greatest Common Factor of 324/52, 658/3788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 324/52, 658/3788

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 324/52,658/3788

Given fractions are 324/52,658/3788

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 324,658

Greatest Common Factor of Numerators i.e. GCF of 324,658 is 2 .

LCM of Denominators means LCM of 52,3788 as per the given fractions.

LCM of 52,3788 is 49244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 324,658

GCF of Fractions 324/52,658/3788 is 2/49244

2 324, 658
162, 329

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

Greatest Common Factor of 324,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,658 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 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 324,658 . The biggest common factor number is the GCF number.
So the greatest common factor 324,658 is 2.

Lets's calculate LCM of 52,3788

2 52, 3788
2 26, 1894
13, 947

∴ So the LCM of the given numbers is 2 x 2 x 13 x 947 = 49244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49244

Therefore, the GCF of Fractions 324/52,658/3788 is 2/49244

Least Common Multiple of 52,3788 with GCF Formula

Least Common Multiple of 52,3788 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 52,3788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,3788) = 4

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

GCF(52,3788) x common factors =4 x 1 = 4

LCM(52,3788) = ( 52 × 3788 ) / 4

LCM(52,3788) = 196976 / 4

LCM(52,3788) = 49244


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 324/52, 658/3788

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 324/52, 658/3788?

Answer: GCF of Numerators as per given numbers 324/52, 658/3788 is

GCF of Numerators i.e. for 324,658 is 2

LCM of denominators i.e. for 52,3788 is 49244.

Thus, GCF of Fractions is 2/49244.Finally, GCF of Fractions for 324/52, 658/3788 is 2/49244.