GCD of 89, 900, 743, 621 Calculator

Given Input numbers are 89, 900, 743, 621

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

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 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 621

List of positive integer divisors of 621 that divides 621 without a remainder.

1, 3, 9, 23, 27, 69, 207, 621

Greatest Common Divisior

We found the divisors of 89, 900, 743, 621 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 900, 743, 621 is 1.

Therefore, GCD of numbers 89, 900, 743, 621 is 1

Given Input Data is 89, 900, 743, 621

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

Prime Factorization of 89 is 89

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

Prime Factorization of 743 is 743

Prime Factorization of 621 is 3 x 3 x 3 x 23

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(89, 900) = 80100

GCD(89, 900) = ( 89 x 900 ) / 80100

GCD(89, 900) = 80100 / 80100

GCD(89, 900) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 621

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

LCM(1, 621) = 621

GCD(1, 621) = ( 1 x 621 ) / 621

GCD(1, 621) = 621 / 621

GCD(1, 621) = 1

GCD of 89, 900, 743, 621 is 1

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• GCD of 76, 965, 750, 174
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1. What is the GCD of 89, 900, 743, 621?

GCD of 89, 900, 743, 621 is 1

2. Where do I get the detailed procedure to find GCD of 89, 900, 743, 621?

You can find a detailed procedure to find GCD of 89, 900, 743, 621 on our page.

3. How to find GCD of 89, 900, 743, 621 on a calculator?

You can find the GCD of 89, 900, 743, 621 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.