GCD of 478, 206, 771, 188 Calculator

Given Input numbers are 478, 206, 771, 188

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 206

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

1, 2, 103, 206

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 478, 206, 771, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 206, 771, 188 is 1.

Therefore, GCD of numbers 478, 206, 771, 188 is 1

Given Input Data is 478, 206, 771, 188

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 206 is 2 x 103

Prime Factorization of 771 is 3 x 257

Prime Factorization of 188 is 2 x 2 x 47

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(478, 206) = 49234

GCD(478, 206) = ( 478 x 206 ) / 49234

GCD(478, 206) = 98468 / 49234

GCD(478, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 771

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

LCM(2, 771) = 1542

GCD(2, 771) = ( 2 x 771 ) / 1542

GCD(2, 771) = 1542 / 1542

GCD(2, 771) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 478, 206, 771, 188 is 1

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1. What is the GCD of 478, 206, 771, 188?

GCD of 478, 206, 771, 188 is 1

2. Where do I get the detailed procedure to find GCD of 478, 206, 771, 188?

You can find a detailed procedure to find GCD of 478, 206, 771, 188 on our page.

3. How to find GCD of 478, 206, 771, 188 on a calculator?

You can find the GCD of 478, 206, 771, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.