GCD of 916, 227, 769, 472 Calculator

Given Input numbers are 916, 227, 769, 472

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 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 916, 227, 769, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 227, 769, 472 is 1.

Therefore, GCD of numbers 916, 227, 769, 472 is 1

Given Input Data is 916, 227, 769, 472

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 769 is 769

Prime Factorization of 472 is 2 x 2 x 2 x 59

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 769

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

LCM(1, 769) = 769

GCD(1, 769) = ( 1 x 769 ) / 769

GCD(1, 769) = 769 / 769

GCD(1, 769) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 916, 227, 769, 472 is 1

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1. What is the GCD of 916, 227, 769, 472?

GCD of 916, 227, 769, 472 is 1

2. Where do I get the detailed procedure to find GCD of 916, 227, 769, 472?

You can find a detailed procedure to find GCD of 916, 227, 769, 472 on our page.

3. How to find GCD of 916, 227, 769, 472 on a calculator?

You can find the GCD of 916, 227, 769, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.