GCD of 564, 173, 900, 946 Calculator

Given Input numbers are 564, 173, 900, 946

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

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 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 564, 173, 900, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 173, 900, 946 is 1.

Therefore, GCD of numbers 564, 173, 900, 946 is 1

Given Input Data is 564, 173, 900, 946

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 173 is 173

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

Prime Factorization of 946 is 2 x 11 x 43

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(564, 173) = 97572

GCD(564, 173) = ( 564 x 173 ) / 97572

GCD(564, 173) = 97572 / 97572

GCD(564, 173) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 564, 173, 900, 946 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 499, 505, 710
• GCD of 408, 440, 673, 672
• GCD of 192, 549, 394, 575
• GCD of 255, 144, 697, 892
• GCD of 415, 811, 632, 383

1. What is the GCD of 564, 173, 900, 946?

GCD of 564, 173, 900, 946 is 1

2. Where do I get the detailed procedure to find GCD of 564, 173, 900, 946?

You can find a detailed procedure to find GCD of 564, 173, 900, 946 on our page.

3. How to find GCD of 564, 173, 900, 946 on a calculator?

You can find the GCD of 564, 173, 900, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.