GCD of 806, 501, 972, 669 Calculator

Given Input numbers are 806, 501, 972, 669

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

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 806, 501, 972, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 806, 501, 972, 669 is 1.

Therefore, GCD of numbers 806, 501, 972, 669 is 1

Given Input Data is 806, 501, 972, 669

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

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 501 is 3 x 167

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 669 is 3 x 223

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(806, 501) = 403806

GCD(806, 501) = ( 806 x 501 ) / 403806

GCD(806, 501) = 403806 / 403806

GCD(806, 501) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

GCD of 806, 501, 972, 669 is 1

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1. What is the GCD of 806, 501, 972, 669?

GCD of 806, 501, 972, 669 is 1

2. Where do I get the detailed procedure to find GCD of 806, 501, 972, 669?

You can find a detailed procedure to find GCD of 806, 501, 972, 669 on our page.

3. How to find GCD of 806, 501, 972, 669 on a calculator?

You can find the GCD of 806, 501, 972, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.