GCD of 132, 852, 22, 262 Calculator

Given Input numbers are 132, 852, 22, 262

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Greatest Common Divisior

We found the divisors of 132, 852, 22, 262 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 852, 22, 262 is 2.

Therefore, GCD of numbers 132, 852, 22, 262 is 2

Given Input Data is 132, 852, 22, 262

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 22 is 2 x 11

Prime Factorization of 262 is 2 x 131

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(132, 852) = 9372

GCD(132, 852) = ( 132 x 852 ) / 9372

GCD(132, 852) = 112464 / 9372

GCD(132, 852) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 22

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

LCM(12, 22) = 132

GCD(12, 22) = ( 12 x 22 ) / 132

GCD(12, 22) = 264 / 132

GCD(12, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 262

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

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

GCD(2, 262) = 524 / 262

GCD(2, 262) = 2

GCD of 132, 852, 22, 262 is 2

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1. What is the GCD of 132, 852, 22, 262?

GCD of 132, 852, 22, 262 is 2

2. Where do I get the detailed procedure to find GCD of 132, 852, 22, 262?

You can find a detailed procedure to find GCD of 132, 852, 22, 262 on our page.

3. How to find GCD of 132, 852, 22, 262 on a calculator?

You can find the GCD of 132, 852, 22, 262 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.