GCD of 213, 977, 780, 191 Calculator

Given Input numbers are 213, 977, 780, 191

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Greatest Common Divisior

We found the divisors of 213, 977, 780, 191 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 977, 780, 191 is 1.

Therefore, GCD of numbers 213, 977, 780, 191 is 1

Given Input Data is 213, 977, 780, 191

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 977 is 977

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 191 is 191

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(213, 977) = 208101

GCD(213, 977) = ( 213 x 977 ) / 208101

GCD(213, 977) = 208101 / 208101

GCD(213, 977) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 191

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

LCM(1, 191) = 191

GCD(1, 191) = ( 1 x 191 ) / 191

GCD(1, 191) = 191 / 191

GCD(1, 191) = 1

GCD of 213, 977, 780, 191 is 1

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1. What is the GCD of 213, 977, 780, 191?

GCD of 213, 977, 780, 191 is 1

2. Where do I get the detailed procedure to find GCD of 213, 977, 780, 191?

You can find a detailed procedure to find GCD of 213, 977, 780, 191 on our page.

3. How to find GCD of 213, 977, 780, 191 on a calculator?

You can find the GCD of 213, 977, 780, 191 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.