GCD of 722, 909, 953, 609 Calculator

Given Input numbers are 722, 909, 953, 609

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

Divisors of 722

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

1, 2, 19, 38, 361, 722

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Greatest Common Divisior

We found the divisors of 722, 909, 953, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 909, 953, 609 is 1.

Therefore, GCD of numbers 722, 909, 953, 609 is 1

Given Input Data is 722, 909, 953, 609

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 953 is 953

Prime Factorization of 609 is 3 x 7 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(722, 909) = 656298

GCD(722, 909) = ( 722 x 909 ) / 656298

GCD(722, 909) = 656298 / 656298

GCD(722, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

GCD of 722, 909, 953, 609 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 736, 792, 954
• GCD of 717, 248, 978, 738
• GCD of 638, 217, 217, 709
• GCD of 263, 675, 588, 978
• GCD of 208, 453, 622, 681

1. What is the GCD of 722, 909, 953, 609?

GCD of 722, 909, 953, 609 is 1

2. Where do I get the detailed procedure to find GCD of 722, 909, 953, 609?

You can find a detailed procedure to find GCD of 722, 909, 953, 609 on our page.

3. How to find GCD of 722, 909, 953, 609 on a calculator?

You can find the GCD of 722, 909, 953, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.