GCD of 17, 970, 380, 722 Calculator

Given Input numbers are 17, 970, 380, 722

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 17, 970, 380, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 970, 380, 722 is 1.

Therefore, GCD of numbers 17, 970, 380, 722 is 1

Given Input Data is 17, 970, 380, 722

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

Prime Factorization of 17 is 17

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 722 is 2 x 19 x 19

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(17, 970) = 16490

GCD(17, 970) = ( 17 x 970 ) / 16490

GCD(17, 970) = 16490 / 16490

GCD(17, 970) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 722

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

LCM(1, 722) = 722

GCD(1, 722) = ( 1 x 722 ) / 722

GCD(1, 722) = 722 / 722

GCD(1, 722) = 1

GCD of 17, 970, 380, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 17, 784, 576, 246
• GCD of 75, 350, 299, 108
• GCD of 25, 319, 803, 429
• GCD of 21, 155, 807, 376
• GCD of 82, 647, 554, 933

1. What is the GCD of 17, 970, 380, 722?

GCD of 17, 970, 380, 722 is 1

2. Where do I get the detailed procedure to find GCD of 17, 970, 380, 722?

You can find a detailed procedure to find GCD of 17, 970, 380, 722 on our page.

3. How to find GCD of 17, 970, 380, 722 on a calculator?

You can find the GCD of 17, 970, 380, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.