GCD of 973, 572, 614, 900 Calculator

Given Input numbers are 973, 572, 614, 900

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

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

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

Greatest Common Divisior

We found the divisors of 973, 572, 614, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 572, 614, 900 is 1.

Therefore, GCD of numbers 973, 572, 614, 900 is 1

Given Input Data is 973, 572, 614, 900

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

Prime Factorization of 973 is 7 x 139

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 614 is 2 x 307

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

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(973, 572) = 556556

GCD(973, 572) = ( 973 x 572 ) / 556556

GCD(973, 572) = 556556 / 556556

GCD(973, 572) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 973, 572, 614, 900 is 1

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1. What is the GCD of 973, 572, 614, 900?

GCD of 973, 572, 614, 900 is 1

2. Where do I get the detailed procedure to find GCD of 973, 572, 614, 900?

You can find a detailed procedure to find GCD of 973, 572, 614, 900 on our page.

3. How to find GCD of 973, 572, 614, 900 on a calculator?

You can find the GCD of 973, 572, 614, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.