Greatest Common Factor of 184/38, 830/28, 676/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 184/38, 830/28, 676/683

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 184/38,830/28,676/683

Given fractions are 184/38,830/28,676/683

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 184,830,676

Greatest Common Factor of Numerators i.e. GCF of 184,830,676 is 2 .

LCM of Denominators means LCM of 38,28,683 as per the given fractions.

LCM of 38,28,683 is 363356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 184,830,676

GCF of Fractions 184/38,830/28,676/683 is 2/363356

2 184, 830, 676
92, 415, 338

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

Greatest Common Factor of 184,830,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,830,676 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 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 184,830,676 . The biggest common factor number is the GCF number.
So the greatest common factor 184,830,676 is 2.

Lets's calculate LCM of 38,28,683

2 38, 28, 683
19, 14, 683

∴ So the LCM of the given numbers is 2 x 19 x 14 x 683 = 363356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/363356

Therefore, the GCF of Fractions 184/38,830/28,676/683 is 2/363356

Least Common Multiple of 38,28,683 with GCF Formula

Least Common Multiple of 38,28,683 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 38,28,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,28,683) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,28,683) x common factors =1 x 2 = 2

LCM(38,28,683) = ( 38 × 28 × 683 ) / 2

LCM(38,28,683) = 726712 / 2

LCM(38,28,683) = 363356


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 184/38, 830/28, 676/683

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 184/38, 830/28, 676/683?

Answer: GCF of Numerators as per given numbers 184/38, 830/28, 676/683 is

GCF of Numerators i.e. for 184,830,676 is 2

LCM of denominators i.e. for 38,28,683 is 363356.

Thus, GCF of Fractions is 2/363356.Finally, GCF of Fractions for 184/38, 830/28, 676/683 is 2/363356.