GCD of 660, 435, 20, 772 Calculator

Given Input numbers are 660, 435, 20, 772

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 660

List of positive integer divisors 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

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 660, 435, 20, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 435, 20, 772 is 1.

Therefore, GCD of numbers 660, 435, 20, 772 is 1

Given Input Data is 660, 435, 20, 772

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 772 is 2 x 2 x 193

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(660, 435) = 19140

GCD(660, 435) = ( 660 x 435 ) / 19140

GCD(660, 435) = 287100 / 19140

GCD(660, 435) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 20

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(15, 20) = 60

GCD(15, 20) = ( 15 x 20 ) / 60

GCD(15, 20) = 300 / 60

GCD(15, 20) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 772

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(5, 772) = 3860

GCD(5, 772) = ( 5 x 772 ) / 3860

GCD(5, 772) = 3860 / 3860

GCD(5, 772) = 1

GCD of 660, 435, 20, 772 is 1

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1. What is the GCD of 660, 435, 20, 772?

GCD of 660, 435, 20, 772 is 1

2. Where do I get the detailed procedure to find GCD of 660, 435, 20, 772?

You can find a detailed procedure to find GCD of 660, 435, 20, 772 on our page.

3. How to find GCD of 660, 435, 20, 772 on a calculator?

You can find the GCD of 660, 435, 20, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.