GCD of 492, 122, 52, 108 Calculator

Given Input numbers are 492, 122, 52, 108

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 492, 122, 52, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 122, 52, 108 is 2.

Therefore, GCD of numbers 492, 122, 52, 108 is 2

Given Input Data is 492, 122, 52, 108

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 122 is 2 x 61

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(492, 122) = 30012

GCD(492, 122) = ( 492 x 122 ) / 30012

GCD(492, 122) = 60024 / 30012

GCD(492, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 108

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

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

GCD(2, 108) = 216 / 108

GCD(2, 108) = 2

GCD of 492, 122, 52, 108 is 2

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• GCD of 536, 267, 93, 581
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1. What is the GCD of 492, 122, 52, 108?

GCD of 492, 122, 52, 108 is 2

2. Where do I get the detailed procedure to find GCD of 492, 122, 52, 108?

You can find a detailed procedure to find GCD of 492, 122, 52, 108 on our page.

3. How to find GCD of 492, 122, 52, 108 on a calculator?

You can find the GCD of 492, 122, 52, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.