GCD of 220, 825, 413, 693 Calculator

Given Input numbers are 220, 825, 413, 693

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 220, 825, 413, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 825, 413, 693 is 1.

Therefore, GCD of numbers 220, 825, 413, 693 is 1

Given Input Data is 220, 825, 413, 693

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 413 is 7 x 59

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(220, 825) = 3300

GCD(220, 825) = ( 220 x 825 ) / 3300

GCD(220, 825) = 181500 / 3300

GCD(220, 825) = 55

Step2:

Here we consider the GCD from the above i.e. 55 as first number and the next as 413

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

LCM(55, 413) = 22715

GCD(55, 413) = ( 55 x 413 ) / 22715

GCD(55, 413) = 22715 / 22715

GCD(55, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 220, 825, 413, 693 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 779, 816, 611, 673

1. What is the GCD of 220, 825, 413, 693?

GCD of 220, 825, 413, 693 is 1

2. Where do I get the detailed procedure to find GCD of 220, 825, 413, 693?

You can find a detailed procedure to find GCD of 220, 825, 413, 693 on our page.

3. How to find GCD of 220, 825, 413, 693 on a calculator?

You can find the GCD of 220, 825, 413, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.