GCD of 916, 532, 20, 222 Calculator

Given Input numbers are 916, 532, 20, 222

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Greatest Common Divisior

We found the divisors of 916, 532, 20, 222 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 532, 20, 222 is 2.

Therefore, GCD of numbers 916, 532, 20, 222 is 2

Given Input Data is 916, 532, 20, 222

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 222 is 2 x 3 x 37

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(916, 532) = 121828

GCD(916, 532) = ( 916 x 532 ) / 121828

GCD(916, 532) = 487312 / 121828

GCD(916, 532) = 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 222

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

LCM(4, 222) = 444

GCD(4, 222) = ( 4 x 222 ) / 444

GCD(4, 222) = 888 / 444

GCD(4, 222) = 2

GCD of 916, 532, 20, 222 is 2

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• GCD of 463, 506, 42, 945
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• GCD of 881, 981, 56, 839

1. What is the GCD of 916, 532, 20, 222?

GCD of 916, 532, 20, 222 is 2

2. Where do I get the detailed procedure to find GCD of 916, 532, 20, 222?

You can find a detailed procedure to find GCD of 916, 532, 20, 222 on our page.

3. How to find GCD of 916, 532, 20, 222 on a calculator?

You can find the GCD of 916, 532, 20, 222 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.