GCD of 369, 234, 40, 354 Calculator

Given Input numbers are 369, 234, 40, 354

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 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 369, 234, 40, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 234, 40, 354 is 1.

Therefore, GCD of numbers 369, 234, 40, 354 is 1

Given Input Data is 369, 234, 40, 354

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 234 is 2 x 3 x 3 x 13

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 354 is 2 x 3 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(369, 234) = 9594

GCD(369, 234) = ( 369 x 234 ) / 9594

GCD(369, 234) = 86346 / 9594

GCD(369, 234) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 40

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

LCM(9, 40) = 360

GCD(9, 40) = ( 9 x 40 ) / 360

GCD(9, 40) = 360 / 360

GCD(9, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 369, 234, 40, 354 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 800, 39, 871
• GCD of 688, 995, 52, 270
• GCD of 682, 530, 56, 458
• GCD of 407, 371, 59, 475
• GCD of 312, 251, 75, 638

1. What is the GCD of 369, 234, 40, 354?

GCD of 369, 234, 40, 354 is 1

2. Where do I get the detailed procedure to find GCD of 369, 234, 40, 354?

You can find a detailed procedure to find GCD of 369, 234, 40, 354 on our page.

3. How to find GCD of 369, 234, 40, 354 on a calculator?

You can find the GCD of 369, 234, 40, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.