GCD of 242, 171, 64, 378 Calculator

Given Input numbers are 242, 171, 64, 378

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

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 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

Greatest Common Divisior

We found the divisors of 242, 171, 64, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 171, 64, 378 is 1.

Therefore, GCD of numbers 242, 171, 64, 378 is 1

Given Input Data is 242, 171, 64, 378

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 171 is 3 x 3 x 19

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

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

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(242, 171) = 41382

GCD(242, 171) = ( 242 x 171 ) / 41382

GCD(242, 171) = 41382 / 41382

GCD(242, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 64

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

LCM(1, 64) = 64

GCD(1, 64) = ( 1 x 64 ) / 64

GCD(1, 64) = 64 / 64

GCD(1, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 378

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

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

GCD(1, 378) = 378 / 378

GCD(1, 378) = 1

GCD of 242, 171, 64, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 583, 64, 480
• GCD of 272, 996, 81, 291
• GCD of 380, 915, 80, 902
• GCD of 489, 458, 35, 325
• GCD of 527, 520, 77, 392

1. What is the GCD of 242, 171, 64, 378?

GCD of 242, 171, 64, 378 is 1

2. Where do I get the detailed procedure to find GCD of 242, 171, 64, 378?

You can find a detailed procedure to find GCD of 242, 171, 64, 378 on our page.

3. How to find GCD of 242, 171, 64, 378 on a calculator?

You can find the GCD of 242, 171, 64, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.