GCD of 705, 506, 39, 708 Calculator

Given Input numbers are 705, 506, 39, 708

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 39

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

1, 3, 13, 39

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Greatest Common Divisior

We found the divisors of 705, 506, 39, 708 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 506, 39, 708 is 1.

Therefore, GCD of numbers 705, 506, 39, 708 is 1

Given Input Data is 705, 506, 39, 708

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 39 is 3 x 13

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(705, 506) = 356730

GCD(705, 506) = ( 705 x 506 ) / 356730

GCD(705, 506) = 356730 / 356730

GCD(705, 506) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 708

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

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

GCD(1, 708) = 708 / 708

GCD(1, 708) = 1

GCD of 705, 506, 39, 708 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 345, 86, 460
• GCD of 261, 136, 44, 213
• GCD of 937, 418, 67, 785
• GCD of 168, 574, 43, 576
• GCD of 930, 520, 75, 856

1. What is the GCD of 705, 506, 39, 708?

GCD of 705, 506, 39, 708 is 1

2. Where do I get the detailed procedure to find GCD of 705, 506, 39, 708?

You can find a detailed procedure to find GCD of 705, 506, 39, 708 on our page.

3. How to find GCD of 705, 506, 39, 708 on a calculator?

You can find the GCD of 705, 506, 39, 708 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.