GCD of 58, 688, 715, 358 Calculator

Given Input numbers are 58, 688, 715, 358

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 58, 688, 715, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 688, 715, 358 is 1.

Therefore, GCD of numbers 58, 688, 715, 358 is 1

Given Input Data is 58, 688, 715, 358

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 358 is 2 x 179

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(58, 688) = 19952

GCD(58, 688) = ( 58 x 688 ) / 19952

GCD(58, 688) = 39904 / 19952

GCD(58, 688) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 715

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

LCM(2, 715) = 1430

GCD(2, 715) = ( 2 x 715 ) / 1430

GCD(2, 715) = 1430 / 1430

GCD(2, 715) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 58, 688, 715, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 864, 202, 851
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• GCD of 64, 310, 287, 732

1. What is the GCD of 58, 688, 715, 358?

GCD of 58, 688, 715, 358 is 1

2. Where do I get the detailed procedure to find GCD of 58, 688, 715, 358?

You can find a detailed procedure to find GCD of 58, 688, 715, 358 on our page.

3. How to find GCD of 58, 688, 715, 358 on a calculator?

You can find the GCD of 58, 688, 715, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.