GCD of 574, 509, 29, 116 Calculator

Given Input numbers are 574, 509, 29, 116

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 29

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

1, 29

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 574, 509, 29, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 509, 29, 116 is 1.

Therefore, GCD of numbers 574, 509, 29, 116 is 1

Given Input Data is 574, 509, 29, 116

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 509 is 509

Prime Factorization of 29 is 29

Prime Factorization of 116 is 2 x 2 x 29

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(574, 509) = 292166

GCD(574, 509) = ( 574 x 509 ) / 292166

GCD(574, 509) = 292166 / 292166

GCD(574, 509) = 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 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 574, 509, 29, 116 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 984, 92, 150
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• GCD of 204, 437, 28, 512
• GCD of 172, 149, 21, 181
• GCD of 968, 266, 31, 800

1. What is the GCD of 574, 509, 29, 116?

GCD of 574, 509, 29, 116 is 1

2. Where do I get the detailed procedure to find GCD of 574, 509, 29, 116?

You can find a detailed procedure to find GCD of 574, 509, 29, 116 on our page.

3. How to find GCD of 574, 509, 29, 116 on a calculator?

You can find the GCD of 574, 509, 29, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.