GCD of 916, 369, 39, 176 Calculator

Given Input numbers are 916, 369, 39, 176

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Greatest Common Divisior

We found the divisors of 916, 369, 39, 176 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 369, 39, 176 is 1.

Therefore, GCD of numbers 916, 369, 39, 176 is 1

Given Input Data is 916, 369, 39, 176

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 369 is 3 x 3 x 41

Prime Factorization of 39 is 3 x 13

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

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, 369) = 338004

GCD(916, 369) = ( 916 x 369 ) / 338004

GCD(916, 369) = 338004 / 338004

GCD(916, 369) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 176

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

LCM(1, 176) = 176

GCD(1, 176) = ( 1 x 176 ) / 176

GCD(1, 176) = 176 / 176

GCD(1, 176) = 1

GCD of 916, 369, 39, 176 is 1

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1. What is the GCD of 916, 369, 39, 176?

GCD of 916, 369, 39, 176 is 1

2. Where do I get the detailed procedure to find GCD of 916, 369, 39, 176?

You can find a detailed procedure to find GCD of 916, 369, 39, 176 on our page.

3. How to find GCD of 916, 369, 39, 176 on a calculator?

You can find the GCD of 916, 369, 39, 176 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.