GCD of 367, 597, 29, 916 Calculator

Given Input numbers are 367, 597, 29, 916

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

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 29

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

1, 29

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 367, 597, 29, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 367, 597, 29, 916 is 1.

Therefore, GCD of numbers 367, 597, 29, 916 is 1

Given Input Data is 367, 597, 29, 916

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

Prime Factorization of 367 is 367

Prime Factorization of 597 is 3 x 199

Prime Factorization of 29 is 29

Prime Factorization of 916 is 2 x 2 x 229

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(367, 597) = 219099

GCD(367, 597) = ( 367 x 597 ) / 219099

GCD(367, 597) = 219099 / 219099

GCD(367, 597) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 367, 597, 29, 916 is 1

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• GCD of 263, 159, 55, 149
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1. What is the GCD of 367, 597, 29, 916?

GCD of 367, 597, 29, 916 is 1

2. Where do I get the detailed procedure to find GCD of 367, 597, 29, 916?

You can find a detailed procedure to find GCD of 367, 597, 29, 916 on our page.

3. How to find GCD of 367, 597, 29, 916 on a calculator?

You can find the GCD of 367, 597, 29, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.