GCD of 570, 972, 69, 667 Calculator

Given Input numbers are 570, 972, 69, 667

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

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

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 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 570, 972, 69, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 972, 69, 667 is 1.

Therefore, GCD of numbers 570, 972, 69, 667 is 1

Given Input Data is 570, 972, 69, 667

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

Prime Factorization of 570 is 2 x 3 x 5 x 19

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

Prime Factorization of 69 is 3 x 23

Prime Factorization of 667 is 23 x 29

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(570, 972) = 92340

GCD(570, 972) = ( 570 x 972 ) / 92340

GCD(570, 972) = 554040 / 92340

GCD(570, 972) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 69

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

LCM(6, 69) = 138

GCD(6, 69) = ( 6 x 69 ) / 138

GCD(6, 69) = 414 / 138

GCD(6, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 667

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

LCM(3, 667) = 2001

GCD(3, 667) = ( 3 x 667 ) / 2001

GCD(3, 667) = 2001 / 2001

GCD(3, 667) = 1

GCD of 570, 972, 69, 667 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 519, 22, 262
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• GCD of 139, 560, 48, 227

1. What is the GCD of 570, 972, 69, 667?

GCD of 570, 972, 69, 667 is 1

2. Where do I get the detailed procedure to find GCD of 570, 972, 69, 667?

You can find a detailed procedure to find GCD of 570, 972, 69, 667 on our page.

3. How to find GCD of 570, 972, 69, 667 on a calculator?

You can find the GCD of 570, 972, 69, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.