GCD of 283, 746, 60, 422 Calculator

Given Input numbers are 283, 746, 60, 422

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

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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 283, 746, 60, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 746, 60, 422 is 1.

Therefore, GCD of numbers 283, 746, 60, 422 is 1

Given Input Data is 283, 746, 60, 422

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

Prime Factorization of 283 is 283

Prime Factorization of 746 is 2 x 373

Prime Factorization of 60 is 2 x 2 x 3 x 5

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(283, 746) = 211118

GCD(283, 746) = ( 283 x 746 ) / 211118

GCD(283, 746) = 211118 / 211118

GCD(283, 746) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 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 283, 746, 60, 422 is 1

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1. What is the GCD of 283, 746, 60, 422?

GCD of 283, 746, 60, 422 is 1

2. Where do I get the detailed procedure to find GCD of 283, 746, 60, 422?

You can find a detailed procedure to find GCD of 283, 746, 60, 422 on our page.

3. How to find GCD of 283, 746, 60, 422 on a calculator?

You can find the GCD of 283, 746, 60, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.