GCD of 900, 352, 87, 423 Calculator

Given Input numbers are 900, 352, 87, 423

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 900, 352, 87, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 352, 87, 423 is 1.

Therefore, GCD of numbers 900, 352, 87, 423 is 1

Given Input Data is 900, 352, 87, 423

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 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 87 is 3 x 29

Prime Factorization of 423 is 3 x 3 x 47

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, 352) = 79200

GCD(900, 352) = ( 900 x 352 ) / 79200

GCD(900, 352) = 316800 / 79200

GCD(900, 352) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 87

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

LCM(4, 87) = 348

GCD(4, 87) = ( 4 x 87 ) / 348

GCD(4, 87) = 348 / 348

GCD(4, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 423

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

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

GCD(1, 423) = 423 / 423

GCD(1, 423) = 1

GCD of 900, 352, 87, 423 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 750, 46, 645
• GCD of 914, 451, 71, 269
• GCD of 320, 511, 11, 147
• GCD of 466, 212, 37, 134
• GCD of 221, 803, 37, 386

1. What is the GCD of 900, 352, 87, 423?

GCD of 900, 352, 87, 423 is 1

2. Where do I get the detailed procedure to find GCD of 900, 352, 87, 423?

You can find a detailed procedure to find GCD of 900, 352, 87, 423 on our page.

3. How to find GCD of 900, 352, 87, 423 on a calculator?

You can find the GCD of 900, 352, 87, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.