GCD of 230, 417, 73, 142 Calculator

Given Input numbers are 230, 417, 73, 142

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 142

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

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 230, 417, 73, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 417, 73, 142 is 1.

Therefore, GCD of numbers 230, 417, 73, 142 is 1

Given Input Data is 230, 417, 73, 142

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 417 is 3 x 139

Prime Factorization of 73 is 73

Prime Factorization of 142 is 2 x 71

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(230, 417) = 95910

GCD(230, 417) = ( 230 x 417 ) / 95910

GCD(230, 417) = 95910 / 95910

GCD(230, 417) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 230, 417, 73, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 290, 78, 721
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• GCD of 180, 382, 94, 654
• GCD of 501, 781, 46, 172
• GCD of 110, 638, 55, 854

1. What is the GCD of 230, 417, 73, 142?

GCD of 230, 417, 73, 142 is 1

2. Where do I get the detailed procedure to find GCD of 230, 417, 73, 142?

You can find a detailed procedure to find GCD of 230, 417, 73, 142 on our page.

3. How to find GCD of 230, 417, 73, 142 on a calculator?

You can find the GCD of 230, 417, 73, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.