GCD of 900, 772, 59, 958 Calculator

Given Input numbers are 900, 772, 59, 958

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 772

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

1, 2, 4, 193, 386, 772

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 900, 772, 59, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 772, 59, 958 is 1.

Therefore, GCD of numbers 900, 772, 59, 958 is 1

Given Input Data is 900, 772, 59, 958

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 772 is 2 x 2 x 193

Prime Factorization of 59 is 59

Prime Factorization of 958 is 2 x 479

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, 772) = 173700

GCD(900, 772) = ( 900 x 772 ) / 173700

GCD(900, 772) = 694800 / 173700

GCD(900, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 59

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

LCM(4, 59) = 236

GCD(4, 59) = ( 4 x 59 ) / 236

GCD(4, 59) = 236 / 236

GCD(4, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 900, 772, 59, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 999, 10, 324
• GCD of 723, 209, 22, 520
• GCD of 321, 678, 28, 303
• GCD of 706, 782, 25, 531
• GCD of 181, 442, 61, 482

1. What is the GCD of 900, 772, 59, 958?

GCD of 900, 772, 59, 958 is 1

2. Where do I get the detailed procedure to find GCD of 900, 772, 59, 958?

You can find a detailed procedure to find GCD of 900, 772, 59, 958 on our page.

3. How to find GCD of 900, 772, 59, 958 on a calculator?

You can find the GCD of 900, 772, 59, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.