Greatest Common Factor of 84/374, 141/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/374, 141/187

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 84/374,141/187

Given fractions are 84/374,141/187

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 84,141

Greatest Common Factor of Numerators i.e. GCF of 84,141 is 3 .

LCM of Denominators means LCM of 374,187 as per the given fractions.

LCM of 374,187 is 374 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,141

GCF of Fractions 84/374,141/187 is 3/374

3 84, 141
28, 47

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

Greatest Common Factor of 84,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,141 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 84,141 . The biggest common factor number is the GCF number.
So the greatest common factor 84,141 is 3.

Lets's calculate LCM of 374,187

11 374, 187
17 34, 17
2, 1

∴ So the LCM of the given numbers is 11 x 17 x 2 x 1 = 374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/374

Therefore, the GCF of Fractions 84/374,141/187 is 3/374

Least Common Multiple of 374,187 with GCF Formula

Least Common Multiple of 374,187 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 374,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(374,187) = 187

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

GCF(374,187) x common factors =187 x 1 = 187

LCM(374,187) = ( 374 × 187 ) / 187

LCM(374,187) = 69938 / 187

LCM(374,187) = 374


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 84/374, 141/187

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 84/374, 141/187?

Answer: GCF of Numerators as per given numbers 84/374, 141/187 is

GCF of Numerators i.e. for 84,141 is 3

LCM of denominators i.e. for 374,187 is 374.

Thus, GCF of Fractions is 3/374.Finally, GCF of Fractions for 84/374, 141/187 is 3/374.