GCD of 380, 351, 632, 306 Calculator

Given Input numbers are 380, 351, 632, 306

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

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 380, 351, 632, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 351, 632, 306 is 1.

Therefore, GCD of numbers 380, 351, 632, 306 is 1

Given Input Data is 380, 351, 632, 306

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

Prime Factorization of 380 is 2 x 2 x 5 x 19

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 306 is 2 x 3 x 3 x 17

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(380, 351) = 133380

GCD(380, 351) = ( 380 x 351 ) / 133380

GCD(380, 351) = 133380 / 133380

GCD(380, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 380, 351, 632, 306 is 1

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1. What is the GCD of 380, 351, 632, 306?

GCD of 380, 351, 632, 306 is 1

2. Where do I get the detailed procedure to find GCD of 380, 351, 632, 306?

You can find a detailed procedure to find GCD of 380, 351, 632, 306 on our page.

3. How to find GCD of 380, 351, 632, 306 on a calculator?

You can find the GCD of 380, 351, 632, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.