GCD of 21, 824, 745, 529 Calculator

Given Input numbers are 21, 824, 745, 529

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

Divisors of 21

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

1, 3, 7, 21

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 21, 824, 745, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 824, 745, 529 is 1.

Therefore, GCD of numbers 21, 824, 745, 529 is 1

Given Input Data is 21, 824, 745, 529

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 745 is 5 x 149

Prime Factorization of 529 is 23 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(21, 824) = 17304

GCD(21, 824) = ( 21 x 824 ) / 17304

GCD(21, 824) = 17304 / 17304

GCD(21, 824) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 529

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

LCM(1, 529) = 529

GCD(1, 529) = ( 1 x 529 ) / 529

GCD(1, 529) = 529 / 529

GCD(1, 529) = 1

GCD of 21, 824, 745, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 128, 668, 180
• GCD of 33, 711, 972, 340
• GCD of 58, 724, 436, 611
• GCD of 47, 846, 142, 828
• GCD of 66, 416, 334, 146

1. What is the GCD of 21, 824, 745, 529?

GCD of 21, 824, 745, 529 is 1

2. Where do I get the detailed procedure to find GCD of 21, 824, 745, 529?

You can find a detailed procedure to find GCD of 21, 824, 745, 529 on our page.

3. How to find GCD of 21, 824, 745, 529 on a calculator?

You can find the GCD of 21, 824, 745, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.