Greatest Common Factor of 660/35, 964/80, 463/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 660/35, 964/80, 463/165

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 660/35,964/80,463/165

Given fractions are 660/35,964/80,463/165

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 660,964,463

Greatest Common Factor of Numerators i.e. GCF of 660,964,463 is 1 .

LCM of Denominators means LCM of 35,80,165 as per the given fractions.

LCM of 35,80,165 is 18480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 660,964,463

GCF of Fractions 660/35,964/80,463/165 is 1/18480

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

Greatest Common Factor of 660,964,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 660,964,463 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 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 660,964,463 . The biggest common factor number is the GCF number.
So the greatest common factor 660,964,463 is 1.

Lets's calculate LCM of 35,80,165

5 35, 80, 165
7, 16, 33

∴ So the LCM of the given numbers is 5 x 7 x 16 x 33 = 18480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18480

Therefore, the GCF of Fractions 660/35,964/80,463/165 is 1/18480

Least Common Multiple of 35,80,165 with GCF Formula

Least Common Multiple of 35,80,165 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 35,80,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,80,165) = 5

common factors(in case of two or more numbers have common factors) = 5

GCF(35,80,165) x common factors =5 x 5 = 25

LCM(35,80,165) = ( 35 × 80 × 165 ) / 25

LCM(35,80,165) = 462000 / 25

LCM(35,80,165) = 18480


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 660/35, 964/80, 463/165

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 660/35, 964/80, 463/165?

Answer: GCF of Numerators as per given numbers 660/35, 964/80, 463/165 is

GCF of Numerators i.e. for 660,964,463 is 1

LCM of denominators i.e. for 35,80,165 is 18480.

Thus, GCF of Fractions is 1/18480.Finally, GCF of Fractions for 660/35, 964/80, 463/165 is 1/18480.