GCD of 268, 252, 22, 468 Calculator

Given Input numbers are 268, 252, 22, 468

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 22

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

1, 2, 11, 22

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 268, 252, 22, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 252, 22, 468 is 2.

Therefore, GCD of numbers 268, 252, 22, 468 is 2

Given Input Data is 268, 252, 22, 468

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 22 is 2 x 11

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(268, 252) = 16884

GCD(268, 252) = ( 268 x 252 ) / 16884

GCD(268, 252) = 67536 / 16884

GCD(268, 252) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 22

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

LCM(4, 22) = 44

GCD(4, 22) = ( 4 x 22 ) / 44

GCD(4, 22) = 88 / 44

GCD(4, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 468

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

LCM(2, 468) = 468

GCD(2, 468) = ( 2 x 468 ) / 468

GCD(2, 468) = 936 / 468

GCD(2, 468) = 2

GCD of 268, 252, 22, 468 is 2

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1. What is the GCD of 268, 252, 22, 468?

GCD of 268, 252, 22, 468 is 2

2. Where do I get the detailed procedure to find GCD of 268, 252, 22, 468?

You can find a detailed procedure to find GCD of 268, 252, 22, 468 on our page.

3. How to find GCD of 268, 252, 22, 468 on a calculator?

You can find the GCD of 268, 252, 22, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.