GCD of 380, 342, 903, 987 Calculator

Given Input numbers are 380, 342, 903, 987

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 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 380, 342, 903, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 342, 903, 987 is 1.

Therefore, GCD of numbers 380, 342, 903, 987 is 1

Given Input Data is 380, 342, 903, 987

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 342 is 2 x 3 x 3 x 19

Prime Factorization of 903 is 3 x 7 x 43

Prime Factorization of 987 is 3 x 7 x 47

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, 342) = 3420

GCD(380, 342) = ( 380 x 342 ) / 3420

GCD(380, 342) = 129960 / 3420

GCD(380, 342) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 903

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

LCM(38, 903) = 34314

GCD(38, 903) = ( 38 x 903 ) / 34314

GCD(38, 903) = 34314 / 34314

GCD(38, 903) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 380, 342, 903, 987 is 1

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1. What is the GCD of 380, 342, 903, 987?

GCD of 380, 342, 903, 987 is 1

2. Where do I get the detailed procedure to find GCD of 380, 342, 903, 987?

You can find a detailed procedure to find GCD of 380, 342, 903, 987 on our page.

3. How to find GCD of 380, 342, 903, 987 on a calculator?

You can find the GCD of 380, 342, 903, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.