GCD of 205, 588, 938 Calculator

Given Input numbers are 205, 588, 938

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

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

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 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 205, 588, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 588, 938 is 1.

Therefore, GCD of numbers 205, 588, 938 is 1

Given Input Data is 205, 588, 938

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

Prime Factorization of 205 is 5 x 41

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

Prime Factorization of 938 is 2 x 7 x 67

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(205, 588) = 120540

GCD(205, 588) = ( 205 x 588 ) / 120540

GCD(205, 588) = 120540 / 120540

GCD(205, 588) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 205, 588, 938 is 1

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1. What is the GCD of 205, 588, 938?

GCD of 205, 588, 938 is 1

2. Where do I get the detailed procedure to find GCD of 205, 588, 938?

You can find a detailed procedure to find GCD of 205, 588, 938 on our page.

3. How to find GCD of 205, 588, 938 on a calculator?

You can find the GCD of 205, 588, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.