Greatest Common Factor of 7374/392, 3795/6068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7374/392, 3795/6068

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 7374/392,3795/6068

Given fractions are 7374/392,3795/6068

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 7374,3795

Greatest Common Factor of Numerators i.e. GCF of 7374,3795 is 3 .

LCM of Denominators means LCM of 392,6068 as per the given fractions.

LCM of 392,6068 is 594664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7374,3795

GCF of Fractions 7374/392,3795/6068 is 3/594664

3 7374, 3795
2458, 1265

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

Greatest Common Factor of 7374,3795 By Matching Biggest Common Factor Method

Greatest Common Factor of 7374,3795 By Matching Biggest Common Factor Method

Factors of 7374

List of positive integer factors of 7374 that divides 7374 without a remainder.

1,2,3,6,1229,2458,3687,7374

Factors of 3795

List of positive integer factors of 3795 that divides 3795 without a remainder.

1,3,5,11,15,23,33,55,69,115,165,253,345,759,1265,3795

Greatest Common Factor

We found the factors 7374,3795 . The biggest common factor number is the GCF number.
So the greatest common factor 7374,3795 is 3.

Lets's calculate LCM of 392,6068

2 392, 6068
2 196, 3034
98, 1517

∴ So the LCM of the given numbers is 2 x 2 x 98 x 1517 = 594664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/594664

Therefore, the GCF of Fractions 7374/392,3795/6068 is 3/594664

Least Common Multiple of 392,6068 with GCF Formula

Least Common Multiple of 392,6068 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 392,6068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,6068) = 4

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

GCF(392,6068) x common factors =4 x 1 = 4

LCM(392,6068) = ( 392 × 6068 ) / 4

LCM(392,6068) = 2378656 / 4

LCM(392,6068) = 594664


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 7374/392, 3795/6068

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 7374/392, 3795/6068?

Answer: GCF of Numerators as per given numbers 7374/392, 3795/6068 is

GCF of Numerators i.e. for 7374,3795 is 3

LCM of denominators i.e. for 392,6068 is 594664.

Thus, GCF of Fractions is 3/594664.Finally, GCF of Fractions for 7374/392, 3795/6068 is 3/594664.