Greatest Common Factor of 7382/330, 2098/6674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7382/330, 2098/6674

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 7382/330,2098/6674

Given fractions are 7382/330,2098/6674

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 7382,2098

Greatest Common Factor of Numerators i.e. GCF of 7382,2098 is 2 .

LCM of Denominators means LCM of 330,6674 as per the given fractions.

LCM of 330,6674 is 1101210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7382,2098

GCF of Fractions 7382/330,2098/6674 is 2/1101210

2 7382, 2098
3691, 1049

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

Greatest Common Factor of 7382,2098 By Matching Biggest Common Factor Method

Greatest Common Factor of 7382,2098 By Matching Biggest Common Factor Method

Factors of 7382

List of positive integer factors of 7382 that divides 7382 without a remainder.

1,2,3691,7382

Factors of 2098

List of positive integer factors of 2098 that divides 2098 without a remainder.

1,2,1049,2098

Greatest Common Factor

We found the factors 7382,2098 . The biggest common factor number is the GCF number.
So the greatest common factor 7382,2098 is 2.

Lets's calculate LCM of 330,6674

2 330, 6674
165, 3337

∴ So the LCM of the given numbers is 2 x 165 x 3337 = 1101210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1101210

Therefore, the GCF of Fractions 7382/330,2098/6674 is 2/1101210

Least Common Multiple of 330,6674 with GCF Formula

Least Common Multiple of 330,6674 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 330,6674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,6674) = 2

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

GCF(330,6674) x common factors =2 x 1 = 2

LCM(330,6674) = ( 330 × 6674 ) / 2

LCM(330,6674) = 2202420 / 2

LCM(330,6674) = 1101210


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 7382/330, 2098/6674

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 7382/330, 2098/6674?

Answer: GCF of Numerators as per given numbers 7382/330, 2098/6674 is

GCF of Numerators i.e. for 7382,2098 is 2

LCM of denominators i.e. for 330,6674 is 1101210.

Thus, GCF of Fractions is 2/1101210.Finally, GCF of Fractions for 7382/330, 2098/6674 is 2/1101210.