GCD of 83, 900, 386, 945 Calculator

Given Input numbers are 83, 900, 386, 945

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

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 83, 900, 386, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 900, 386, 945 is 1.

Therefore, GCD of numbers 83, 900, 386, 945 is 1

Given Input Data is 83, 900, 386, 945

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

Prime Factorization of 83 is 83

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 386 is 2 x 193

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(83, 900) = 74700

GCD(83, 900) = ( 83 x 900 ) / 74700

GCD(83, 900) = 74700 / 74700

GCD(83, 900) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 386

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

LCM(1, 386) = 386

GCD(1, 386) = ( 1 x 386 ) / 386

GCD(1, 386) = 386 / 386

GCD(1, 386) = 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 83, 900, 386, 945 is 1

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1. What is the GCD of 83, 900, 386, 945?

GCD of 83, 900, 386, 945 is 1

2. Where do I get the detailed procedure to find GCD of 83, 900, 386, 945?

You can find a detailed procedure to find GCD of 83, 900, 386, 945 on our page.

3. How to find GCD of 83, 900, 386, 945 on a calculator?

You can find the GCD of 83, 900, 386, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.