GCD of 204, 200, 20, 776 Calculator

Given Input numbers are 204, 200, 20, 776

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Greatest Common Divisior

We found the divisors of 204, 200, 20, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 200, 20, 776 is 4.

Therefore, GCD of numbers 204, 200, 20, 776 is 4

Given Input Data is 204, 200, 20, 776

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 776 is 2 x 2 x 2 x 97

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(204, 200) = 10200

GCD(204, 200) = ( 204 x 200 ) / 10200

GCD(204, 200) = 40800 / 10200

GCD(204, 200) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 20

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

LCM(4, 20) = 20

GCD(4, 20) = ( 4 x 20 ) / 20

GCD(4, 20) = 80 / 20

GCD(4, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 776

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

LCM(4, 776) = 776

GCD(4, 776) = ( 4 x 776 ) / 776

GCD(4, 776) = 3104 / 776

GCD(4, 776) = 4

GCD of 204, 200, 20, 776 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 921, 60, 529
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• GCD of 991, 100, 13, 659

1. What is the GCD of 204, 200, 20, 776?

GCD of 204, 200, 20, 776 is 4

2. Where do I get the detailed procedure to find GCD of 204, 200, 20, 776?

You can find a detailed procedure to find GCD of 204, 200, 20, 776 on our page.

3. How to find GCD of 204, 200, 20, 776 on a calculator?

You can find the GCD of 204, 200, 20, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.