GCD of 200, 318, 945 Calculator

Given Input numbers are 200, 318, 945

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

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 200, 318, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 318, 945 is 1.

Therefore, GCD of numbers 200, 318, 945 is 1

Given Input Data is 200, 318, 945

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 318 is 2 x 3 x 53

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(200, 318) = 31800

GCD(200, 318) = ( 200 x 318 ) / 31800

GCD(200, 318) = 63600 / 31800

GCD(200, 318) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 945

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

LCM(2, 945) = 1890

GCD(2, 945) = ( 2 x 945 ) / 1890

GCD(2, 945) = 1890 / 1890

GCD(2, 945) = 1

GCD of 200, 318, 945 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 736, 658
• GCD of 190, 559, 718
• GCD of 372, 660, 894
• GCD of 345, 147, 649
• GCD of 289, 125, 254

1. What is the GCD of 200, 318, 945?

GCD of 200, 318, 945 is 1

2. Where do I get the detailed procedure to find GCD of 200, 318, 945?

You can find a detailed procedure to find GCD of 200, 318, 945 on our page.

3. How to find GCD of 200, 318, 945 on a calculator?

You can find the GCD of 200, 318, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.