GCD of 462, 776, 20, 228 Calculator

Given Input numbers are 462, 776, 20, 228

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 776

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

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

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Greatest Common Divisior

We found the divisors of 462, 776, 20, 228 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 776, 20, 228 is 2.

Therefore, GCD of numbers 462, 776, 20, 228 is 2

Given Input Data is 462, 776, 20, 228

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 228 is 2 x 2 x 3 x 19

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(462, 776) = 179256

GCD(462, 776) = ( 462 x 776 ) / 179256

GCD(462, 776) = 358512 / 179256

GCD(462, 776) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 228

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

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

GCD(2, 228) = 456 / 228

GCD(2, 228) = 2

GCD of 462, 776, 20, 228 is 2

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• GCD of 162, 744, 68, 759
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• GCD of 384, 202, 20, 550

1. What is the GCD of 462, 776, 20, 228?

GCD of 462, 776, 20, 228 is 2

2. Where do I get the detailed procedure to find GCD of 462, 776, 20, 228?

You can find a detailed procedure to find GCD of 462, 776, 20, 228 on our page.

3. How to find GCD of 462, 776, 20, 228 on a calculator?

You can find the GCD of 462, 776, 20, 228 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.