GCD of 381, 393, 86, 945 Calculator

Given Input numbers are 381, 393, 86, 945

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 381, 393, 86, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 393, 86, 945 is 1.

Therefore, GCD of numbers 381, 393, 86, 945 is 1

Given Input Data is 381, 393, 86, 945

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 393 is 3 x 131

Prime Factorization of 86 is 2 x 43

Prime Factorization of 945 is 3 x 3 x 3 x 5 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(381, 393) = 49911

GCD(381, 393) = ( 381 x 393 ) / 49911

GCD(381, 393) = 149733 / 49911

GCD(381, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 86

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

LCM(3, 86) = 258

GCD(3, 86) = ( 3 x 86 ) / 258

GCD(3, 86) = 258 / 258

GCD(3, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 381, 393, 86, 945 is 1

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1. What is the GCD of 381, 393, 86, 945?

GCD of 381, 393, 86, 945 is 1

2. Where do I get the detailed procedure to find GCD of 381, 393, 86, 945?

You can find a detailed procedure to find GCD of 381, 393, 86, 945 on our page.

3. How to find GCD of 381, 393, 86, 945 on a calculator?

You can find the GCD of 381, 393, 86, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.