GCD of 900, 914, 361, 624 Calculator

Given Input numbers are 900, 914, 361, 624

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 900, 914, 361, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 914, 361, 624 is 1.

Therefore, GCD of numbers 900, 914, 361, 624 is 1

Given Input Data is 900, 914, 361, 624

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 914 is 2 x 457

Prime Factorization of 361 is 19 x 19

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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, 914) = 411300

GCD(900, 914) = ( 900 x 914 ) / 411300

GCD(900, 914) = 822600 / 411300

GCD(900, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 361

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

LCM(2, 361) = 722

GCD(2, 361) = ( 2 x 361 ) / 722

GCD(2, 361) = 722 / 722

GCD(2, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 624

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

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

GCD(1, 624) = 624 / 624

GCD(1, 624) = 1

GCD of 900, 914, 361, 624 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 679, 678, 351, 352
• GCD of 304, 117, 708, 287
• GCD of 850, 244, 824, 617
• GCD of 924, 724, 105, 694
• GCD of 619, 307, 772, 606

1. What is the GCD of 900, 914, 361, 624?

GCD of 900, 914, 361, 624 is 1

2. Where do I get the detailed procedure to find GCD of 900, 914, 361, 624?

You can find a detailed procedure to find GCD of 900, 914, 361, 624 on our page.

3. How to find GCD of 900, 914, 361, 624 on a calculator?

You can find the GCD of 900, 914, 361, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.