GCD of 80, 223, 742, 422 Calculator

Given Input numbers are 80, 223, 742, 422

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Greatest Common Divisior

We found the divisors of 80, 223, 742, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 223, 742, 422 is 1.

Therefore, GCD of numbers 80, 223, 742, 422 is 1

Given Input Data is 80, 223, 742, 422

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 223 is 223

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 422 is 2 x 211

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(80, 223) = 17840

GCD(80, 223) = ( 80 x 223 ) / 17840

GCD(80, 223) = 17840 / 17840

GCD(80, 223) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

GCD of 80, 223, 742, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 925, 826, 688
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• GCD of 76, 939, 546, 837
• GCD of 69, 685, 291, 645
• GCD of 13, 123, 772, 937

1. What is the GCD of 80, 223, 742, 422?

GCD of 80, 223, 742, 422 is 1

2. Where do I get the detailed procedure to find GCD of 80, 223, 742, 422?

You can find a detailed procedure to find GCD of 80, 223, 742, 422 on our page.

3. How to find GCD of 80, 223, 742, 422 on a calculator?

You can find the GCD of 80, 223, 742, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.