GCD of 17, 340, 477, 142 Calculator

Given Input numbers are 17, 340, 477, 142

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

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 17, 340, 477, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 340, 477, 142 is 1.

Therefore, GCD of numbers 17, 340, 477, 142 is 1

Given Input Data is 17, 340, 477, 142

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

Prime Factorization of 17 is 17

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 477 is 3 x 3 x 53

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(17, 340) = 340

GCD(17, 340) = ( 17 x 340 ) / 340

GCD(17, 340) = 5780 / 340

GCD(17, 340) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 477

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

LCM(17, 477) = 8109

GCD(17, 477) = ( 17 x 477 ) / 8109

GCD(17, 477) = 8109 / 8109

GCD(17, 477) = 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 17, 340, 477, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 956, 328, 878
• GCD of 59, 729, 404, 131
• GCD of 71, 233, 681, 588
• GCD of 60, 849, 665, 793
• GCD of 73, 525, 678, 974

1. What is the GCD of 17, 340, 477, 142?

GCD of 17, 340, 477, 142 is 1

2. Where do I get the detailed procedure to find GCD of 17, 340, 477, 142?

You can find a detailed procedure to find GCD of 17, 340, 477, 142 on our page.

3. How to find GCD of 17, 340, 477, 142 on a calculator?

You can find the GCD of 17, 340, 477, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.