GCD of 360, 827, 79, 706 Calculator

Given Input numbers are 360, 827, 79, 706

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 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 360, 827, 79, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 827, 79, 706 is 1.

Therefore, GCD of numbers 360, 827, 79, 706 is 1

Given Input Data is 360, 827, 79, 706

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 827 is 827

Prime Factorization of 79 is 79

Prime Factorization of 706 is 2 x 353

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, 827) = 297720

GCD(360, 827) = ( 360 x 827 ) / 297720

GCD(360, 827) = 297720 / 297720

GCD(360, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 79

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

LCM(1, 79) = 79

GCD(1, 79) = ( 1 x 79 ) / 79

GCD(1, 79) = 79 / 79

GCD(1, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 360, 827, 79, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 793, 93, 777
• GCD of 750, 967, 40, 646
• GCD of 647, 591, 55, 330
• GCD of 852, 353, 96, 649
• GCD of 264, 523, 87, 460

1. What is the GCD of 360, 827, 79, 706?

GCD of 360, 827, 79, 706 is 1

2. Where do I get the detailed procedure to find GCD of 360, 827, 79, 706?

You can find a detailed procedure to find GCD of 360, 827, 79, 706 on our page.

3. How to find GCD of 360, 827, 79, 706 on a calculator?

You can find the GCD of 360, 827, 79, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.