GCD of 42, 220, 817, 430 Calculator

Given Input numbers are 42, 220, 817, 430

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Greatest Common Divisior

We found the divisors of 42, 220, 817, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 220, 817, 430 is 1.

Therefore, GCD of numbers 42, 220, 817, 430 is 1

Given Input Data is 42, 220, 817, 430

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 817 is 19 x 43

Prime Factorization of 430 is 2 x 5 x 43

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(42, 220) = 4620

GCD(42, 220) = ( 42 x 220 ) / 4620

GCD(42, 220) = 9240 / 4620

GCD(42, 220) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 817

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

LCM(2, 817) = 1634

GCD(2, 817) = ( 2 x 817 ) / 1634

GCD(2, 817) = 1634 / 1634

GCD(2, 817) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 430

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

LCM(1, 430) = 430

GCD(1, 430) = ( 1 x 430 ) / 430

GCD(1, 430) = 430 / 430

GCD(1, 430) = 1

GCD of 42, 220, 817, 430 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 182, 644, 996
• GCD of 88, 646, 804, 943
• GCD of 24, 441, 856, 213
• GCD of 87, 778, 399, 458
• GCD of 46, 854, 210, 905

1. What is the GCD of 42, 220, 817, 430?

GCD of 42, 220, 817, 430 is 1

2. Where do I get the detailed procedure to find GCD of 42, 220, 817, 430?

You can find a detailed procedure to find GCD of 42, 220, 817, 430 on our page.

3. How to find GCD of 42, 220, 817, 430 on a calculator?

You can find the GCD of 42, 220, 817, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.