Greatest Common Factor of 184/218, 391/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 184/218, 391/692

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 184/218,391/692

Given fractions are 184/218,391/692

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 184,391

Greatest Common Factor of Numerators i.e. GCF of 184,391 is 23 .

LCM of Denominators means LCM of 218,692 as per the given fractions.

LCM of 218,692 is 75428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 184,391

GCF of Fractions 184/218,391/692 is 23/75428

23 184, 391
8, 17

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 184,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,391 By Matching Biggest Common Factor Method

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Greatest Common Factor

We found the factors 184,391 . The biggest common factor number is the GCF number.
So the greatest common factor 184,391 is 23.

Lets's calculate LCM of 218,692

2 218, 692
109, 346

∴ So the LCM of the given numbers is 2 x 109 x 346 = 75428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/75428

Therefore, the GCF of Fractions 184/218,391/692 is 23/75428

Least Common Multiple of 218,692 with GCF Formula

Least Common Multiple of 218,692 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 218,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,692) = 2

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

GCF(218,692) x common factors =2 x 1 = 2

LCM(218,692) = ( 218 × 692 ) / 2

LCM(218,692) = 150856 / 2

LCM(218,692) = 75428


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 184/218, 391/692

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 184/218, 391/692?

Answer: GCF of Numerators as per given numbers 184/218, 391/692 is

GCF of Numerators i.e. for 184,391 is 23

LCM of denominators i.e. for 218,692 is 75428.

Thus, GCF of Fractions is 23/75428.Finally, GCF of Fractions for 184/218, 391/692 is 23/75428.