GCD of 205, 379, 90, 788 Calculator

Given Input numbers are 205, 379, 90, 788

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 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 205, 379, 90, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 205, 379, 90, 788 is 1.

Therefore, GCD of numbers 205, 379, 90, 788 is 1

Given Input Data is 205, 379, 90, 788

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

Prime Factorization of 205 is 5 x 41

Prime Factorization of 379 is 379

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 788 is 2 x 2 x 197

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, 379) = 77695

GCD(205, 379) = ( 205 x 379 ) / 77695

GCD(205, 379) = 77695 / 77695

GCD(205, 379) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

GCD of 205, 379, 90, 788 is 1

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• GCD of 376, 529, 82, 781
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• GCD of 676, 379, 67, 520

1. What is the GCD of 205, 379, 90, 788?

GCD of 205, 379, 90, 788 is 1

2. Where do I get the detailed procedure to find GCD of 205, 379, 90, 788?

You can find a detailed procedure to find GCD of 205, 379, 90, 788 on our page.

3. How to find GCD of 205, 379, 90, 788 on a calculator?

You can find the GCD of 205, 379, 90, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.