Greatest Common Factor of 165/184, 698/678, 996/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 165/184, 698/678, 996/294

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 165/184,698/678,996/294

Given fractions are 165/184,698/678,996/294

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 165,698,996

Greatest Common Factor of Numerators i.e. GCF of 165,698,996 is 1 .

LCM of Denominators means LCM of 184,678,294 as per the given fractions.

LCM of 184,678,294 is 3056424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 165,698,996

GCF of Fractions 165/184,698/678,996/294 is 1/3056424

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 165,698,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,698,996 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 165,698,996 . The biggest common factor number is the GCF number.
So the greatest common factor 165,698,996 is 1.

Lets's calculate LCM of 184,678,294

2 184, 678, 294
3 92, 339, 147
92, 113, 49

∴ So the LCM of the given numbers is 2 x 3 x 92 x 113 x 49 = 3056424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3056424

Therefore, the GCF of Fractions 165/184,698/678,996/294 is 1/3056424

Least Common Multiple of 184,678,294 with GCF Formula

Least Common Multiple of 184,678,294 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 184,678,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,678,294) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(184,678,294) x common factors =2 x 6 = 12

LCM(184,678,294) = ( 184 × 678 × 294 ) / 12

LCM(184,678,294) = 36677088 / 12

LCM(184,678,294) = 3056424


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 165/184, 698/678, 996/294

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 165/184, 698/678, 996/294?

Answer: GCF of Numerators as per given numbers 165/184, 698/678, 996/294 is

GCF of Numerators i.e. for 165,698,996 is 1

LCM of denominators i.e. for 184,678,294 is 3056424.

Thus, GCF of Fractions is 1/3056424.Finally, GCF of Fractions for 165/184, 698/678, 996/294 is 1/3056424.