GCD of 59, 782, 206, 358 Calculator

Given Input numbers are 59, 782, 206, 358

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

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 59, 782, 206, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 782, 206, 358 is 1.

Therefore, GCD of numbers 59, 782, 206, 358 is 1

Given Input Data is 59, 782, 206, 358

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

Prime Factorization of 59 is 59

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 206 is 2 x 103

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(59, 782) = 46138

GCD(59, 782) = ( 59 x 782 ) / 46138

GCD(59, 782) = 46138 / 46138

GCD(59, 782) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 206

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

LCM(1, 206) = 206

GCD(1, 206) = ( 1 x 206 ) / 206

GCD(1, 206) = 206 / 206

GCD(1, 206) = 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 59, 782, 206, 358 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 59, 586, 182, 444
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1. What is the GCD of 59, 782, 206, 358?

GCD of 59, 782, 206, 358 is 1

2. Where do I get the detailed procedure to find GCD of 59, 782, 206, 358?

You can find a detailed procedure to find GCD of 59, 782, 206, 358 on our page.

3. How to find GCD of 59, 782, 206, 358 on a calculator?

You can find the GCD of 59, 782, 206, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.