GCD of 353, 912, 59, 111 Calculator

Given Input numbers are 353, 912, 59, 111

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 353, 912, 59, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 912, 59, 111 is 1.

Therefore, GCD of numbers 353, 912, 59, 111 is 1

Given Input Data is 353, 912, 59, 111

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

Prime Factorization of 353 is 353

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

Prime Factorization of 59 is 59

Prime Factorization of 111 is 3 x 37

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(353, 912) = 321936

GCD(353, 912) = ( 353 x 912 ) / 321936

GCD(353, 912) = 321936 / 321936

GCD(353, 912) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

GCD of 353, 912, 59, 111 is 1

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1. What is the GCD of 353, 912, 59, 111?

GCD of 353, 912, 59, 111 is 1

2. Where do I get the detailed procedure to find GCD of 353, 912, 59, 111?

You can find a detailed procedure to find GCD of 353, 912, 59, 111 on our page.

3. How to find GCD of 353, 912, 59, 111 on a calculator?

You can find the GCD of 353, 912, 59, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.