GCD of 206, 931, 407, 772 Calculator

Given Input numbers are 206, 931, 407, 772

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

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 206, 931, 407, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 931, 407, 772 is 1.

Therefore, GCD of numbers 206, 931, 407, 772 is 1

Given Input Data is 206, 931, 407, 772

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

Prime Factorization of 206 is 2 x 103

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 407 is 11 x 37

Prime Factorization of 772 is 2 x 2 x 193

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(206, 931) = 191786

GCD(206, 931) = ( 206 x 931 ) / 191786

GCD(206, 931) = 191786 / 191786

GCD(206, 931) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 407

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

LCM(1, 407) = 407

GCD(1, 407) = ( 1 x 407 ) / 407

GCD(1, 407) = 407 / 407

GCD(1, 407) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 206, 931, 407, 772 is 1

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1. What is the GCD of 206, 931, 407, 772?

GCD of 206, 931, 407, 772 is 1

2. Where do I get the detailed procedure to find GCD of 206, 931, 407, 772?

You can find a detailed procedure to find GCD of 206, 931, 407, 772 on our page.

3. How to find GCD of 206, 931, 407, 772 on a calculator?

You can find the GCD of 206, 931, 407, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.