Greatest Common Factor of 476/66, 660/18, 470/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 476/66, 660/18, 470/765

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 476/66,660/18,470/765

Given fractions are 476/66,660/18,470/765

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 476,660,470

Greatest Common Factor of Numerators i.e. GCF of 476,660,470 is 2 .

LCM of Denominators means LCM of 66,18,765 as per the given fractions.

LCM of 66,18,765 is 16830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 476,660,470

GCF of Fractions 476/66,660/18,470/765 is 2/16830

2 476, 660, 470
238, 330, 235

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

Greatest Common Factor of 476,660,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,660,470 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

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 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 476,660,470 . The biggest common factor number is the GCF number.
So the greatest common factor 476,660,470 is 2.

Lets's calculate LCM of 66,18,765

2 66, 18, 765
3 33, 9, 765
3 11, 3, 255
11, 1, 85

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 1 x 85 = 16830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16830

Therefore, the GCF of Fractions 476/66,660/18,470/765 is 2/16830

Least Common Multiple of 66,18,765 with GCF Formula

Least Common Multiple of 66,18,765 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 66,18,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,18,765) = 3

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

GCF(66,18,765) x common factors =3 x 18 = 54

LCM(66,18,765) = ( 66 × 18 × 765 ) / 54

LCM(66,18,765) = 908820 / 54

LCM(66,18,765) = 16830


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 476/66, 660/18, 470/765

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 476/66, 660/18, 470/765?

Answer: GCF of Numerators as per given numbers 476/66, 660/18, 470/765 is

GCF of Numerators i.e. for 476,660,470 is 2

LCM of denominators i.e. for 66,18,765 is 16830.

Thus, GCF of Fractions is 2/16830.Finally, GCF of Fractions for 476/66, 660/18, 470/765 is 2/16830.