GCD of 72, 165, 779, 900 Calculator

Given Input numbers are 72, 165, 779, 900

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

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 72, 165, 779, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 165, 779, 900 is 1.

Therefore, GCD of numbers 72, 165, 779, 900 is 1

Given Input Data is 72, 165, 779, 900

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

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 779 is 19 x 41

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(72, 165) = 3960

GCD(72, 165) = ( 72 x 165 ) / 3960

GCD(72, 165) = 11880 / 3960

GCD(72, 165) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 779

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

LCM(3, 779) = 2337

GCD(3, 779) = ( 3 x 779 ) / 2337

GCD(3, 779) = 2337 / 2337

GCD(3, 779) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 72, 165, 779, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 173, 125, 393
• GCD of 74, 636, 207, 506
• GCD of 87, 159, 666, 616
• GCD of 21, 717, 844, 543
• GCD of 51, 943, 391, 848

1. What is the GCD of 72, 165, 779, 900?

GCD of 72, 165, 779, 900 is 1

2. Where do I get the detailed procedure to find GCD of 72, 165, 779, 900?

You can find a detailed procedure to find GCD of 72, 165, 779, 900 on our page.

3. How to find GCD of 72, 165, 779, 900 on a calculator?

You can find the GCD of 72, 165, 779, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.