Greatest Common Factor of 7389/64, 4392/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7389/64, 4392/388

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 7389/64,4392/388

Given fractions are 7389/64,4392/388

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 7389,4392

Greatest Common Factor of Numerators i.e. GCF of 7389,4392 is 9 .

LCM of Denominators means LCM of 64,388 as per the given fractions.

LCM of 64,388 is 6208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7389,4392

GCF of Fractions 7389/64,4392/388 is 9/6208

3 7389, 4392
3 2463, 1464
821, 488

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 7389,4392 By Matching Biggest Common Factor Method

Greatest Common Factor of 7389,4392 By Matching Biggest Common Factor Method

Factors of 7389

List of positive integer factors of 7389 that divides 7389 without a remainder.

1,3,9,821,2463,7389

Factors of 4392

List of positive integer factors of 4392 that divides 4392 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,61,72,122,183,244,366,488,549,732,1098,1464,2196,4392

Greatest Common Factor

We found the factors 7389,4392 . The biggest common factor number is the GCF number.
So the greatest common factor 7389,4392 is 9.

Lets's calculate LCM of 64,388

2 64, 388
2 32, 194
16, 97

∴ So the LCM of the given numbers is 2 x 2 x 16 x 97 = 6208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/6208

Therefore, the GCF of Fractions 7389/64,4392/388 is 9/6208

Least Common Multiple of 64,388 with GCF Formula

Least Common Multiple of 64,388 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 64,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,388) = 4

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

GCF(64,388) x common factors =4 x 1 = 4

LCM(64,388) = ( 64 × 388 ) / 4

LCM(64,388) = 24832 / 4

LCM(64,388) = 6208


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 7389/64, 4392/388

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 7389/64, 4392/388?

Answer: GCF of Numerators as per given numbers 7389/64, 4392/388 is

GCF of Numerators i.e. for 7389,4392 is 9

LCM of denominators i.e. for 64,388 is 6208.

Thus, GCF of Fractions is 9/6208.Finally, GCF of Fractions for 7389/64, 4392/388 is 9/6208.