Greatest Common Factor of 8046/12, 3098/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8046/12, 3098/673

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 8046/12,3098/673

Given fractions are 8046/12,3098/673

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 8046,3098

Greatest Common Factor of Numerators i.e. GCF of 8046,3098 is 2 .

LCM of Denominators means LCM of 12,673 as per the given fractions.

LCM of 12,673 is 8076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8046,3098

GCF of Fractions 8046/12,3098/673 is 2/8076

2 8046, 3098
4023, 1549

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

Greatest Common Factor of 8046,3098 By Matching Biggest Common Factor Method

Greatest Common Factor of 8046,3098 By Matching Biggest Common Factor Method

Factors of 8046

List of positive integer factors of 8046 that divides 8046 without a remainder.

1,2,3,6,9,18,27,54,149,298,447,894,1341,2682,4023,8046

Factors of 3098

List of positive integer factors of 3098 that divides 3098 without a remainder.

1,2,1549,3098

Greatest Common Factor

We found the factors 8046,3098 . The biggest common factor number is the GCF number.
So the greatest common factor 8046,3098 is 2.

Lets's calculate LCM of 12,673

Given numbers has no common factors except 1. So, there LCM is their product i.e 8076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8076

Therefore, the GCF of Fractions 8046/12,3098/673 is 2/8076

Least Common Multiple of 12,673 with GCF Formula

Least Common Multiple of 12,673 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 12,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,673) = 1

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

GCF(12,673) x common factors =1 x 1 = 1

LCM(12,673) = ( 12 × 673 ) / 1

LCM(12,673) = 8076 / 1

LCM(12,673) = 8076


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 8046/12, 3098/673

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 8046/12, 3098/673?

Answer: GCF of Numerators as per given numbers 8046/12, 3098/673 is

GCF of Numerators i.e. for 8046,3098 is 2

LCM of denominators i.e. for 12,673 is 8076.

Thus, GCF of Fractions is 2/8076.Finally, GCF of Fractions for 8046/12, 3098/673 is 2/8076.