GCD of 206, 388, 632, 376 Calculator

Given Input numbers are 206, 388, 632, 376

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 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Greatest Common Divisior

We found the divisors of 206, 388, 632, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 388, 632, 376 is 2.

Therefore, GCD of numbers 206, 388, 632, 376 is 2

Given Input Data is 206, 388, 632, 376

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

Prime Factorization of 206 is 2 x 103

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 376 is 2 x 2 x 2 x 47

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 388) = 39964

GCD(206, 388) = ( 206 x 388 ) / 39964

GCD(206, 388) = 79928 / 39964

GCD(206, 388) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 632

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

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

GCD(2, 632) = 1264 / 632

GCD(2, 632) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 376

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

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

GCD(2, 376) = 752 / 376

GCD(2, 376) = 2

GCD of 206, 388, 632, 376 is 2

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1. What is the GCD of 206, 388, 632, 376?

GCD of 206, 388, 632, 376 is 2

2. Where do I get the detailed procedure to find GCD of 206, 388, 632, 376?

You can find a detailed procedure to find GCD of 206, 388, 632, 376 on our page.

3. How to find GCD of 206, 388, 632, 376 on a calculator?

You can find the GCD of 206, 388, 632, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.