GCD of 200, 785, 660, 972 Calculator

Given Input numbers are 200, 785, 660, 972

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 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 200, 785, 660, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 785, 660, 972 is 1.

Therefore, GCD of numbers 200, 785, 660, 972 is 1

Given Input Data is 200, 785, 660, 972

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 785 is 5 x 157

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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, 785) = 31400

GCD(200, 785) = ( 200 x 785 ) / 31400

GCD(200, 785) = 157000 / 31400

GCD(200, 785) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 660

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

LCM(5, 660) = 660

GCD(5, 660) = ( 5 x 660 ) / 660

GCD(5, 660) = 3300 / 660

GCD(5, 660) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 972

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

LCM(5, 972) = 4860

GCD(5, 972) = ( 5 x 972 ) / 4860

GCD(5, 972) = 4860 / 4860

GCD(5, 972) = 1

GCD of 200, 785, 660, 972 is 1

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1. What is the GCD of 200, 785, 660, 972?

GCD of 200, 785, 660, 972 is 1

2. Where do I get the detailed procedure to find GCD of 200, 785, 660, 972?

You can find a detailed procedure to find GCD of 200, 785, 660, 972 on our page.

3. How to find GCD of 200, 785, 660, 972 on a calculator?

You can find the GCD of 200, 785, 660, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.