GCD of 706, 360, 39, 415 Calculator

Given Input numbers are 706, 360, 39, 415

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

Divisors of 706

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

1, 2, 353, 706

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 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 706, 360, 39, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 360, 39, 415 is 1.

Therefore, GCD of numbers 706, 360, 39, 415 is 1

Given Input Data is 706, 360, 39, 415

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

Prime Factorization of 706 is 2 x 353

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 415 is 5 x 83

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(706, 360) = 127080

GCD(706, 360) = ( 706 x 360 ) / 127080

GCD(706, 360) = 254160 / 127080

GCD(706, 360) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 39

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

LCM(2, 39) = 78

GCD(2, 39) = ( 2 x 39 ) / 78

GCD(2, 39) = 78 / 78

GCD(2, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

GCD of 706, 360, 39, 415 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 936, 509, 81, 414
• GCD of 526, 408, 91, 803
• GCD of 639, 216, 26, 390
• GCD of 684, 104, 68, 640
• GCD of 766, 862, 57, 927

1. What is the GCD of 706, 360, 39, 415?

GCD of 706, 360, 39, 415 is 1

2. Where do I get the detailed procedure to find GCD of 706, 360, 39, 415?

You can find a detailed procedure to find GCD of 706, 360, 39, 415 on our page.

3. How to find GCD of 706, 360, 39, 415 on a calculator?

You can find the GCD of 706, 360, 39, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.