GCD of 222, 205, 90, 769 Calculator

Given Input numbers are 222, 205, 90, 769

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

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 205

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

1, 5, 41, 205

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 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 222, 205, 90, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 205, 90, 769 is 1.

Therefore, GCD of numbers 222, 205, 90, 769 is 1

Given Input Data is 222, 205, 90, 769

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 205 is 5 x 41

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

Prime Factorization of 769 is 769

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(222, 205) = 45510

GCD(222, 205) = ( 222 x 205 ) / 45510

GCD(222, 205) = 45510 / 45510

GCD(222, 205) = 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 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

GCD of 222, 205, 90, 769 is 1

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• GCD of 449, 398, 68, 930
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1. What is the GCD of 222, 205, 90, 769?

GCD of 222, 205, 90, 769 is 1

2. Where do I get the detailed procedure to find GCD of 222, 205, 90, 769?

You can find a detailed procedure to find GCD of 222, 205, 90, 769 on our page.

3. How to find GCD of 222, 205, 90, 769 on a calculator?

You can find the GCD of 222, 205, 90, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.