GCD of 142, 227, 20, 359 Calculator

Given Input numbers are 142, 227, 20, 359

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Greatest Common Divisior

We found the divisors of 142, 227, 20, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 227, 20, 359 is 1.

Therefore, GCD of numbers 142, 227, 20, 359 is 1

Given Input Data is 142, 227, 20, 359

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 227 is 227

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 359 is 359

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(142, 227) = 32234

GCD(142, 227) = ( 142 x 227 ) / 32234

GCD(142, 227) = 32234 / 32234

GCD(142, 227) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 359

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

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

GCD(1, 359) = 359 / 359

GCD(1, 359) = 1

GCD of 142, 227, 20, 359 is 1

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1. What is the GCD of 142, 227, 20, 359?

GCD of 142, 227, 20, 359 is 1

2. Where do I get the detailed procedure to find GCD of 142, 227, 20, 359?

You can find a detailed procedure to find GCD of 142, 227, 20, 359 on our page.

3. How to find GCD of 142, 227, 20, 359 on a calculator?

You can find the GCD of 142, 227, 20, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.