Greatest Common Factor of 84/185, 66/116, 640/873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/185, 66/116, 640/873

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 84/185,66/116,640/873

Given fractions are 84/185,66/116,640/873

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 84,66,640

Greatest Common Factor of Numerators i.e. GCF of 84,66,640 is 2 .

LCM of Denominators means LCM of 185,116,873 as per the given fractions.

LCM of 185,116,873 is 18734580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,66,640

GCF of Fractions 84/185,66/116,640/873 is 2/18734580

2 84, 66, 640
42, 33, 320

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

Greatest Common Factor of 84,66,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,66,640 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 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 84,66,640 . The biggest common factor number is the GCF number.
So the greatest common factor 84,66,640 is 2.

Lets's calculate LCM of 185,116,873

Given numbers has no common factors except 1. So, there LCM is their product i.e 18734580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18734580

Therefore, the GCF of Fractions 84/185,66/116,640/873 is 2/18734580

Least Common Multiple of 185,116,873 with GCF Formula

Least Common Multiple of 185,116,873 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 185,116,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(185,116,873) = 1

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

GCF(185,116,873) x common factors =1 x 1 = 1

LCM(185,116,873) = ( 185 × 116 × 873 ) / 1

LCM(185,116,873) = 18734580 / 1

LCM(185,116,873) = 18734580


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 84/185, 66/116, 640/873

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 84/185, 66/116, 640/873?

Answer: GCF of Numerators as per given numbers 84/185, 66/116, 640/873 is

GCF of Numerators i.e. for 84,66,640 is 2

LCM of denominators i.e. for 185,116,873 is 18734580.

Thus, GCF of Fractions is 2/18734580.Finally, GCF of Fractions for 84/185, 66/116, 640/873 is 2/18734580.