GCD of 66, 916, 554, 822 Calculator

Given Input numbers are 66, 916, 554, 822

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 916

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

1, 2, 4, 229, 458, 916

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Greatest Common Divisior

We found the divisors of 66, 916, 554, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 916, 554, 822 is 2.

Therefore, GCD of numbers 66, 916, 554, 822 is 2

Given Input Data is 66, 916, 554, 822

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 554 is 2 x 277

Prime Factorization of 822 is 2 x 3 x 137

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(66, 916) = 30228

GCD(66, 916) = ( 66 x 916 ) / 30228

GCD(66, 916) = 60456 / 30228

GCD(66, 916) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 554

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

LCM(2, 554) = 554

GCD(2, 554) = ( 2 x 554 ) / 554

GCD(2, 554) = 1108 / 554

GCD(2, 554) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 822

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

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

GCD(2, 822) = 1644 / 822

GCD(2, 822) = 2

GCD of 66, 916, 554, 822 is 2

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• GCD of 13, 931, 310, 324
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1. What is the GCD of 66, 916, 554, 822?

GCD of 66, 916, 554, 822 is 2

2. Where do I get the detailed procedure to find GCD of 66, 916, 554, 822?

You can find a detailed procedure to find GCD of 66, 916, 554, 822 on our page.

3. How to find GCD of 66, 916, 554, 822 on a calculator?

You can find the GCD of 66, 916, 554, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.