GCD of 200, 197, 648, 970 Calculator

Given Input numbers are 200, 197, 648, 970

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 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 200, 197, 648, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 197, 648, 970 is 1.

Therefore, GCD of numbers 200, 197, 648, 970 is 1

Given Input Data is 200, 197, 648, 970

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 197 is 197

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 970 is 2 x 5 x 97

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, 197) = 39400

GCD(200, 197) = ( 200 x 197 ) / 39400

GCD(200, 197) = 39400 / 39400

GCD(200, 197) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 200, 197, 648, 970 is 1

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1. What is the GCD of 200, 197, 648, 970?

GCD of 200, 197, 648, 970 is 1

2. Where do I get the detailed procedure to find GCD of 200, 197, 648, 970?

You can find a detailed procedure to find GCD of 200, 197, 648, 970 on our page.

3. How to find GCD of 200, 197, 648, 970 on a calculator?

You can find the GCD of 200, 197, 648, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.