GCD of 713, 449, 360, 122 Calculator

Given Input numbers are 713, 449, 360, 122

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 713, 449, 360, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 713, 449, 360, 122 is 1.

Therefore, GCD of numbers 713, 449, 360, 122 is 1

Given Input Data is 713, 449, 360, 122

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

Prime Factorization of 713 is 23 x 31

Prime Factorization of 449 is 449

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 122 is 2 x 61

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(713, 449) = 320137

GCD(713, 449) = ( 713 x 449 ) / 320137

GCD(713, 449) = 320137 / 320137

GCD(713, 449) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 713, 449, 360, 122 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 568, 303, 999, 784
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• GCD of 148, 328, 571, 127

1. What is the GCD of 713, 449, 360, 122?

GCD of 713, 449, 360, 122 is 1

2. Where do I get the detailed procedure to find GCD of 713, 449, 360, 122?

You can find a detailed procedure to find GCD of 713, 449, 360, 122 on our page.

3. How to find GCD of 713, 449, 360, 122 on a calculator?

You can find the GCD of 713, 449, 360, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.