Greatest Common Factor of 5854/307, 5946/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5854/307, 5946/187

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 5854/307,5946/187

Given fractions are 5854/307,5946/187

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 5854,5946

Greatest Common Factor of Numerators i.e. GCF of 5854,5946 is 2 .

LCM of Denominators means LCM of 307,187 as per the given fractions.

LCM of 307,187 is 57409 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5854,5946

GCF of Fractions 5854/307,5946/187 is 2/57409

2 5854, 5946
2927, 2973

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

Greatest Common Factor of 5854,5946 By Matching Biggest Common Factor Method

Greatest Common Factor of 5854,5946 By Matching Biggest Common Factor Method

Factors of 5854

List of positive integer factors of 5854 that divides 5854 without a remainder.

1,2,2927,5854

Factors of 5946

List of positive integer factors of 5946 that divides 5946 without a remainder.

1,2,3,6,991,1982,2973,5946

Greatest Common Factor

We found the factors 5854,5946 . The biggest common factor number is the GCF number.
So the greatest common factor 5854,5946 is 2.

Lets's calculate LCM of 307,187

Given numbers has no common factors except 1. So, there LCM is their product i.e 57409

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/57409

Therefore, the GCF of Fractions 5854/307,5946/187 is 2/57409

Least Common Multiple of 307,187 with GCF Formula

Least Common Multiple of 307,187 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 307,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,187) = 1

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

GCF(307,187) x common factors =1 x 1 = 1

LCM(307,187) = ( 307 × 187 ) / 1

LCM(307,187) = 57409 / 1

LCM(307,187) = 57409


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 5854/307, 5946/187

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 5854/307, 5946/187?

Answer: GCF of Numerators as per given numbers 5854/307, 5946/187 is

GCF of Numerators i.e. for 5854,5946 is 2

LCM of denominators i.e. for 307,187 is 57409.

Thus, GCF of Fractions is 2/57409.Finally, GCF of Fractions for 5854/307, 5946/187 is 2/57409.