GCD of 369, 174, 31, 356 Calculator

Given Input numbers are 369, 174, 31, 356

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

Divisors of 369

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

1, 3, 9, 41, 123, 369

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 369, 174, 31, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 174, 31, 356 is 1.

Therefore, GCD of numbers 369, 174, 31, 356 is 1

Given Input Data is 369, 174, 31, 356

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 31 is 31

Prime Factorization of 356 is 2 x 2 x 89

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(369, 174) = 21402

GCD(369, 174) = ( 369 x 174 ) / 21402

GCD(369, 174) = 64206 / 21402

GCD(369, 174) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 31

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

LCM(3, 31) = 93

GCD(3, 31) = ( 3 x 31 ) / 93

GCD(3, 31) = 93 / 93

GCD(3, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 356

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

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

GCD(1, 356) = 356 / 356

GCD(1, 356) = 1

GCD of 369, 174, 31, 356 is 1

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1. What is the GCD of 369, 174, 31, 356?

GCD of 369, 174, 31, 356 is 1

2. Where do I get the detailed procedure to find GCD of 369, 174, 31, 356?

You can find a detailed procedure to find GCD of 369, 174, 31, 356 on our page.

3. How to find GCD of 369, 174, 31, 356 on a calculator?

You can find the GCD of 369, 174, 31, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.