Greatest Common Factor of 6873/149, 5794/8514

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6873/149, 5794/8514

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 6873/149,5794/8514

Given fractions are 6873/149,5794/8514

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 6873,5794

Greatest Common Factor of Numerators i.e. GCF of 6873,5794 is 1 .

LCM of Denominators means LCM of 149,8514 as per the given fractions.

LCM of 149,8514 is 1268586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6873,5794

GCF of Fractions 6873/149,5794/8514 is 1/1268586

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6873,5794 By Matching Biggest Common Factor Method

Greatest Common Factor of 6873,5794 By Matching Biggest Common Factor Method

Factors of 6873

List of positive integer factors of 6873 that divides 6873 without a remainder.

1,3,29,79,87,237,2291,6873

Factors of 5794

List of positive integer factors of 5794 that divides 5794 without a remainder.

1,2,2897,5794

Greatest Common Factor

We found the factors 6873,5794 . The biggest common factor number is the GCF number.
So the greatest common factor 6873,5794 is 1.

Lets's calculate LCM of 149,8514

Given numbers has no common factors except 1. So, there LCM is their product i.e 1268586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1268586

Therefore, the GCF of Fractions 6873/149,5794/8514 is 1/1268586

Least Common Multiple of 149,8514 with GCF Formula

Least Common Multiple of 149,8514 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 149,8514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,8514) = 1

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

GCF(149,8514) x common factors =1 x 1 = 1

LCM(149,8514) = ( 149 × 8514 ) / 1

LCM(149,8514) = 1268586 / 1

LCM(149,8514) = 1268586


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 6873/149, 5794/8514

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 6873/149, 5794/8514?

Answer: GCF of Numerators as per given numbers 6873/149, 5794/8514 is

GCF of Numerators i.e. for 6873,5794 is 1

LCM of denominators i.e. for 149,8514 is 1268586.

Thus, GCF of Fractions is 1/1268586.Finally, GCF of Fractions for 6873/149, 5794/8514 is 1/1268586.