GCD of 717, 474, 29, 117 Calculator

Given Input numbers are 717, 474, 29, 117

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 29

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

1, 29

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 717, 474, 29, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 717, 474, 29, 117 is 1.

Therefore, GCD of numbers 717, 474, 29, 117 is 1

Given Input Data is 717, 474, 29, 117

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 29 is 29

Prime Factorization of 117 is 3 x 3 x 13

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(717, 474) = 113286

GCD(717, 474) = ( 717 x 474 ) / 113286

GCD(717, 474) = 339858 / 113286

GCD(717, 474) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 29

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

LCM(3, 29) = 87

GCD(3, 29) = ( 3 x 29 ) / 87

GCD(3, 29) = 87 / 87

GCD(3, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 717, 474, 29, 117 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 806, 792, 51, 951
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• GCD of 176, 454, 18, 236
• GCD of 884, 824, 41, 627

1. What is the GCD of 717, 474, 29, 117?

GCD of 717, 474, 29, 117 is 1

2. Where do I get the detailed procedure to find GCD of 717, 474, 29, 117?

You can find a detailed procedure to find GCD of 717, 474, 29, 117 on our page.

3. How to find GCD of 717, 474, 29, 117 on a calculator?

You can find the GCD of 717, 474, 29, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.