GCD of 378, 368, 64, 133 Calculator

Given Input numbers are 378, 368, 64, 133

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 378, 368, 64, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 368, 64, 133 is 1.

Therefore, GCD of numbers 378, 368, 64, 133 is 1

Given Input Data is 378, 368, 64, 133

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 133 is 7 x 19

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(378, 368) = 69552

GCD(378, 368) = ( 378 x 368 ) / 69552

GCD(378, 368) = 139104 / 69552

GCD(378, 368) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 133

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

LCM(2, 133) = 266

GCD(2, 133) = ( 2 x 133 ) / 266

GCD(2, 133) = 266 / 266

GCD(2, 133) = 1

GCD of 378, 368, 64, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 955, 29, 922
• GCD of 299, 462, 73, 670
• GCD of 865, 740, 94, 152
• GCD of 753, 704, 34, 966
• GCD of 116, 483, 51, 645

1. What is the GCD of 378, 368, 64, 133?

GCD of 378, 368, 64, 133 is 1

2. Where do I get the detailed procedure to find GCD of 378, 368, 64, 133?

You can find a detailed procedure to find GCD of 378, 368, 64, 133 on our page.

3. How to find GCD of 378, 368, 64, 133 on a calculator?

You can find the GCD of 378, 368, 64, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.