GCD of 916, 836, 32, 102 Calculator

Given Input numbers are 916, 836, 32, 102

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 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 916, 836, 32, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 836, 32, 102 is 2.

Therefore, GCD of numbers 916, 836, 32, 102 is 2

Given Input Data is 916, 836, 32, 102

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 836 is 2 x 2 x 11 x 19

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 102 is 2 x 3 x 17

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, 836) = 191444

GCD(916, 836) = ( 916 x 836 ) / 191444

GCD(916, 836) = 765776 / 191444

GCD(916, 836) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 32

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

LCM(4, 32) = 32

GCD(4, 32) = ( 4 x 32 ) / 32

GCD(4, 32) = 128 / 32

GCD(4, 32) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 102

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

LCM(4, 102) = 204

GCD(4, 102) = ( 4 x 102 ) / 204

GCD(4, 102) = 408 / 204

GCD(4, 102) = 2

GCD of 916, 836, 32, 102 is 2

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1. What is the GCD of 916, 836, 32, 102?

GCD of 916, 836, 32, 102 is 2

2. Where do I get the detailed procedure to find GCD of 916, 836, 32, 102?

You can find a detailed procedure to find GCD of 916, 836, 32, 102 on our page.

3. How to find GCD of 916, 836, 32, 102 on a calculator?

You can find the GCD of 916, 836, 32, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.