GCD of 360, 772, 903, 106 Calculator

Given Input numbers are 360, 772, 903, 106

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

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 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 360, 772, 903, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 772, 903, 106 is 1.

Therefore, GCD of numbers 360, 772, 903, 106 is 1

Given Input Data is 360, 772, 903, 106

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

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

Prime Factorization of 772 is 2 x 2 x 193

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 106 is 2 x 53

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(360, 772) = 69480

GCD(360, 772) = ( 360 x 772 ) / 69480

GCD(360, 772) = 277920 / 69480

GCD(360, 772) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 903

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

LCM(4, 903) = 3612

GCD(4, 903) = ( 4 x 903 ) / 3612

GCD(4, 903) = 3612 / 3612

GCD(4, 903) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 360, 772, 903, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 711, 544, 898
• GCD of 529, 416, 933, 549
• GCD of 860, 337, 556, 503
• GCD of 979, 133, 967, 703
• GCD of 839, 373, 756, 470

1. What is the GCD of 360, 772, 903, 106?

GCD of 360, 772, 903, 106 is 1

2. Where do I get the detailed procedure to find GCD of 360, 772, 903, 106?

You can find a detailed procedure to find GCD of 360, 772, 903, 106 on our page.

3. How to find GCD of 360, 772, 903, 106 on a calculator?

You can find the GCD of 360, 772, 903, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.