GCD of 351, 123, 21, 352 Calculator

Given Input numbers are 351, 123, 21, 352

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Greatest Common Divisior

We found the divisors of 351, 123, 21, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 123, 21, 352 is 1.

Therefore, GCD of numbers 351, 123, 21, 352 is 1

Given Input Data is 351, 123, 21, 352

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 123 is 3 x 41

Prime Factorization of 21 is 3 x 7

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

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(351, 123) = 14391

GCD(351, 123) = ( 351 x 123 ) / 14391

GCD(351, 123) = 43173 / 14391

GCD(351, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 352

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

LCM(3, 352) = 1056

GCD(3, 352) = ( 3 x 352 ) / 1056

GCD(3, 352) = 1056 / 1056

GCD(3, 352) = 1

GCD of 351, 123, 21, 352 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 589, 38, 758
• GCD of 256, 789, 46, 183
• GCD of 531, 219, 56, 277
• GCD of 363, 682, 95, 508
• GCD of 346, 668, 57, 959

1. What is the GCD of 351, 123, 21, 352?

GCD of 351, 123, 21, 352 is 1

2. Where do I get the detailed procedure to find GCD of 351, 123, 21, 352?

You can find a detailed procedure to find GCD of 351, 123, 21, 352 on our page.

3. How to find GCD of 351, 123, 21, 352 on a calculator?

You can find the GCD of 351, 123, 21, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.