GCD of 708, 588, 39, 913 Calculator

Given Input numbers are 708, 588, 39, 913

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

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 39

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

1, 3, 13, 39

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 708, 588, 39, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 588, 39, 913 is 1.

Therefore, GCD of numbers 708, 588, 39, 913 is 1

Given Input Data is 708, 588, 39, 913

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

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 39 is 3 x 13

Prime Factorization of 913 is 11 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(708, 588) = 34692

GCD(708, 588) = ( 708 x 588 ) / 34692

GCD(708, 588) = 416304 / 34692

GCD(708, 588) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 39

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

LCM(12, 39) = 156

GCD(12, 39) = ( 12 x 39 ) / 156

GCD(12, 39) = 468 / 156

GCD(12, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 913

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

LCM(3, 913) = 2739

GCD(3, 913) = ( 3 x 913 ) / 2739

GCD(3, 913) = 2739 / 2739

GCD(3, 913) = 1

GCD of 708, 588, 39, 913 is 1

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• GCD of 459, 111, 79, 464

1. What is the GCD of 708, 588, 39, 913?

GCD of 708, 588, 39, 913 is 1

2. Where do I get the detailed procedure to find GCD of 708, 588, 39, 913?

You can find a detailed procedure to find GCD of 708, 588, 39, 913 on our page.

3. How to find GCD of 708, 588, 39, 913 on a calculator?

You can find the GCD of 708, 588, 39, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.