GCD of 29, 680, 458, 417 Calculator

Given Input numbers are 29, 680, 458, 417

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

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 417

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

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 29, 680, 458, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 680, 458, 417 is 1.

Therefore, GCD of numbers 29, 680, 458, 417 is 1

Given Input Data is 29, 680, 458, 417

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

Prime Factorization of 29 is 29

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 458 is 2 x 229

Prime Factorization of 417 is 3 x 139

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(29, 680) = 19720

GCD(29, 680) = ( 29 x 680 ) / 19720

GCD(29, 680) = 19720 / 19720

GCD(29, 680) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 458

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

LCM(1, 458) = 458

GCD(1, 458) = ( 1 x 458 ) / 458

GCD(1, 458) = 458 / 458

GCD(1, 458) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 417

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

LCM(1, 417) = 417

GCD(1, 417) = ( 1 x 417 ) / 417

GCD(1, 417) = 417 / 417

GCD(1, 417) = 1

GCD of 29, 680, 458, 417 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 107, 785, 707
• GCD of 33, 202, 620, 457
• GCD of 85, 513, 563, 694
• GCD of 37, 310, 821, 207
• GCD of 22, 412, 598, 787

1. What is the GCD of 29, 680, 458, 417?

GCD of 29, 680, 458, 417 is 1

2. Where do I get the detailed procedure to find GCD of 29, 680, 458, 417?

You can find a detailed procedure to find GCD of 29, 680, 458, 417 on our page.

3. How to find GCD of 29, 680, 458, 417 on a calculator?

You can find the GCD of 29, 680, 458, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.