GCD of 945, 572, 21, 171 Calculator

Given Input numbers are 945, 572, 21, 171

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 945, 572, 21, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 572, 21, 171 is 1.

Therefore, GCD of numbers 945, 572, 21, 171 is 1

Given Input Data is 945, 572, 21, 171

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 171 is 3 x 3 x 19

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(945, 572) = 540540

GCD(945, 572) = ( 945 x 572 ) / 540540

GCD(945, 572) = 540540 / 540540

GCD(945, 572) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 945, 572, 21, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 619, 12, 204
• GCD of 274, 786, 84, 448
• GCD of 729, 759, 32, 174
• GCD of 730, 425, 16, 591
• GCD of 226, 752, 19, 207

1. What is the GCD of 945, 572, 21, 171?

GCD of 945, 572, 21, 171 is 1

2. Where do I get the detailed procedure to find GCD of 945, 572, 21, 171?

You can find a detailed procedure to find GCD of 945, 572, 21, 171 on our page.

3. How to find GCD of 945, 572, 21, 171 on a calculator?

You can find the GCD of 945, 572, 21, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.