GCD of 916, 227, 690, 500 Calculator

Given Input numbers are 916, 227, 690, 500

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

Divisors of 916

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

1, 2, 4, 229, 458, 916

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 916, 227, 690, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 227, 690, 500 is 1.

Therefore, GCD of numbers 916, 227, 690, 500 is 1

Given Input Data is 916, 227, 690, 500

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 227 is 227

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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(916, 227) = 207932

GCD(916, 227) = ( 916 x 227 ) / 207932

GCD(916, 227) = 207932 / 207932

GCD(916, 227) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 916, 227, 690, 500 is 1

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1. What is the GCD of 916, 227, 690, 500?

GCD of 916, 227, 690, 500 is 1

2. Where do I get the detailed procedure to find GCD of 916, 227, 690, 500?

You can find a detailed procedure to find GCD of 916, 227, 690, 500 on our page.

3. How to find GCD of 916, 227, 690, 500 on a calculator?

You can find the GCD of 916, 227, 690, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.