GCD of 283, 321, 145, 742 Calculator

Given Input numbers are 283, 321, 145, 742

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 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 742

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

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

Greatest Common Divisior

We found the divisors of 283, 321, 145, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 321, 145, 742 is 1.

Therefore, GCD of numbers 283, 321, 145, 742 is 1

Given Input Data is 283, 321, 145, 742

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

Prime Factorization of 283 is 283

Prime Factorization of 321 is 3 x 107

Prime Factorization of 145 is 5 x 29

Prime Factorization of 742 is 2 x 7 x 53

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, 321) = 90843

GCD(283, 321) = ( 283 x 321 ) / 90843

GCD(283, 321) = 90843 / 90843

GCD(283, 321) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 1

Step3:

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

GCD of 283, 321, 145, 742 is 1

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1. What is the GCD of 283, 321, 145, 742?

GCD of 283, 321, 145, 742 is 1

2. Where do I get the detailed procedure to find GCD of 283, 321, 145, 742?

You can find a detailed procedure to find GCD of 283, 321, 145, 742 on our page.

3. How to find GCD of 283, 321, 145, 742 on a calculator?

You can find the GCD of 283, 321, 145, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.