Greatest Common Factor of 51/298, 5846/1143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/298, 5846/1143

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 51/298,5846/1143

Given fractions are 51/298,5846/1143

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 51,5846

Greatest Common Factor of Numerators i.e. GCF of 51,5846 is 1 .

LCM of Denominators means LCM of 298,1143 as per the given fractions.

LCM of 298,1143 is 340614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,5846

GCF of Fractions 51/298,5846/1143 is 1/340614

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

Greatest Common Factor of 51,5846 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,5846 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 5846

List of positive integer factors of 5846 that divides 5846 without a remainder.

1,2,37,74,79,158,2923,5846

Greatest Common Factor

We found the factors 51,5846 . The biggest common factor number is the GCF number.
So the greatest common factor 51,5846 is 1.

Lets's calculate LCM of 298,1143

Given numbers has no common factors except 1. So, there LCM is their product i.e 340614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340614

Therefore, the GCF of Fractions 51/298,5846/1143 is 1/340614

Least Common Multiple of 298,1143 with GCF Formula

Least Common Multiple of 298,1143 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 298,1143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,1143) = 1

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

GCF(298,1143) x common factors =1 x 1 = 1

LCM(298,1143) = ( 298 × 1143 ) / 1

LCM(298,1143) = 340614 / 1

LCM(298,1143) = 340614


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 51/298, 5846/1143

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 51/298, 5846/1143?

Answer: GCF of Numerators as per given numbers 51/298, 5846/1143 is

GCF of Numerators i.e. for 51,5846 is 1

LCM of denominators i.e. for 298,1143 is 340614.

Thus, GCF of Fractions is 1/340614.Finally, GCF of Fractions for 51/298, 5846/1143 is 1/340614.