Greatest Common Factor of 660/18, 804/66, 652/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 660/18, 804/66, 652/315

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 660/18,804/66,652/315

Given fractions are 660/18,804/66,652/315

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 660,804,652

Greatest Common Factor of Numerators i.e. GCF of 660,804,652 is 4 .

LCM of Denominators means LCM of 18,66,315 as per the given fractions.

LCM of 18,66,315 is 6930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 660,804,652

GCF of Fractions 660/18,804/66,652/315 is 4/6930

2 660, 804, 652
2 330, 402, 326
165, 201, 163

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 660,804,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,804,652 By Matching Biggest Common Factor Method

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 660,804,652 . The biggest common factor number is the GCF number.
So the greatest common factor 660,804,652 is 4.

Lets's calculate LCM of 18,66,315

2 18, 66, 315
3 9, 33, 315
3 3, 11, 105
1, 11, 35

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 11 x 35 = 6930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6930

Therefore, the GCF of Fractions 660/18,804/66,652/315 is 4/6930

Least Common Multiple of 18,66,315 with GCF Formula

Least Common Multiple of 18,66,315 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 18,66,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,66,315) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(18,66,315) x common factors =3 x 18 = 54

LCM(18,66,315) = ( 18 × 66 × 315 ) / 54

LCM(18,66,315) = 374220 / 54

LCM(18,66,315) = 6930


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 660/18, 804/66, 652/315

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 660/18, 804/66, 652/315?

Answer: GCF of Numerators as per given numbers 660/18, 804/66, 652/315 is

GCF of Numerators i.e. for 660,804,652 is 4

LCM of denominators i.e. for 18,66,315 is 6930.

Thus, GCF of Fractions is 4/6930.Finally, GCF of Fractions for 660/18, 804/66, 652/315 is 4/6930.