GCD of 900, 522, 30, 145 Calculator

Given Input numbers are 900, 522, 30, 145

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

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Greatest Common Divisior

We found the divisors of 900, 522, 30, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 522, 30, 145 is 1.

Therefore, GCD of numbers 900, 522, 30, 145 is 1

Given Input Data is 900, 522, 30, 145

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

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 145 is 5 x 29

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(900, 522) = 26100

GCD(900, 522) = ( 900 x 522 ) / 26100

GCD(900, 522) = 469800 / 26100

GCD(900, 522) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 30

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

LCM(18, 30) = 90

GCD(18, 30) = ( 18 x 30 ) / 90

GCD(18, 30) = 540 / 90

GCD(18, 30) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 145

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

LCM(6, 145) = 870

GCD(6, 145) = ( 6 x 145 ) / 870

GCD(6, 145) = 870 / 870

GCD(6, 145) = 1

GCD of 900, 522, 30, 145 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 303, 75, 785
• GCD of 767, 344, 30, 487
• GCD of 809, 780, 22, 294
• GCD of 762, 101, 72, 102
• GCD of 148, 580, 41, 760

1. What is the GCD of 900, 522, 30, 145?

GCD of 900, 522, 30, 145 is 1

2. Where do I get the detailed procedure to find GCD of 900, 522, 30, 145?

You can find a detailed procedure to find GCD of 900, 522, 30, 145 on our page.

3. How to find GCD of 900, 522, 30, 145 on a calculator?

You can find the GCD of 900, 522, 30, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.