GCD of 663, 754, 821, 660 Calculator

Given Input numbers are 663, 754, 821, 660

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

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 663, 754, 821, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 663, 754, 821, 660 is 1.

Therefore, GCD of numbers 663, 754, 821, 660 is 1

Given Input Data is 663, 754, 821, 660

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

Prime Factorization of 663 is 3 x 13 x 17

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 821 is 821

Prime Factorization of 660 is 2 x 2 x 3 x 5 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(663, 754) = 38454

GCD(663, 754) = ( 663 x 754 ) / 38454

GCD(663, 754) = 499902 / 38454

GCD(663, 754) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 821

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

LCM(13, 821) = 10673

GCD(13, 821) = ( 13 x 821 ) / 10673

GCD(13, 821) = 10673 / 10673

GCD(13, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 663, 754, 821, 660 is 1

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1. What is the GCD of 663, 754, 821, 660?

GCD of 663, 754, 821, 660 is 1

2. Where do I get the detailed procedure to find GCD of 663, 754, 821, 660?

You can find a detailed procedure to find GCD of 663, 754, 821, 660 on our page.

3. How to find GCD of 663, 754, 821, 660 on a calculator?

You can find the GCD of 663, 754, 821, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.