Greatest Common Factor of 3114/678, 2391/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3114/678, 2391/185

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 3114/678,2391/185

Given fractions are 3114/678,2391/185

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 3114,2391

Greatest Common Factor of Numerators i.e. GCF of 3114,2391 is 3 .

LCM of Denominators means LCM of 678,185 as per the given fractions.

LCM of 678,185 is 125430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3114,2391

GCF of Fractions 3114/678,2391/185 is 3/125430

3 3114, 2391
1038, 797

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3114,2391 By Matching Biggest Common Factor Method

Greatest Common Factor of 3114,2391 By Matching Biggest Common Factor Method

Factors of 3114

List of positive integer factors of 3114 that divides 3114 without a remainder.

1,2,3,6,9,18,173,346,519,1038,1557,3114

Factors of 2391

List of positive integer factors of 2391 that divides 2391 without a remainder.

1,3,797,2391

Greatest Common Factor

We found the factors 3114,2391 . The biggest common factor number is the GCF number.
So the greatest common factor 3114,2391 is 3.

Lets's calculate LCM of 678,185

Given numbers has no common factors except 1. So, there LCM is their product i.e 125430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/125430

Therefore, the GCF of Fractions 3114/678,2391/185 is 3/125430

Least Common Multiple of 678,185 with GCF Formula

Least Common Multiple of 678,185 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 678,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,185) = 1

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

GCF(678,185) x common factors =1 x 1 = 1

LCM(678,185) = ( 678 × 185 ) / 1

LCM(678,185) = 125430 / 1

LCM(678,185) = 125430


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 3114/678, 2391/185

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 3114/678, 2391/185?

Answer: GCF of Numerators as per given numbers 3114/678, 2391/185 is

GCF of Numerators i.e. for 3114,2391 is 3

LCM of denominators i.e. for 678,185 is 125430.

Thus, GCF of Fractions is 3/125430.Finally, GCF of Fractions for 3114/678, 2391/185 is 3/125430.