GCD of 384, 260, 22, 252 Calculator

Given Input numbers are 384, 260, 22, 252

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 22

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

1, 2, 11, 22

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

Greatest Common Divisior

We found the divisors of 384, 260, 22, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 260, 22, 252 is 2.

Therefore, GCD of numbers 384, 260, 22, 252 is 2

Given Input Data is 384, 260, 22, 252

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 22 is 2 x 11

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

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(384, 260) = 24960

GCD(384, 260) = ( 384 x 260 ) / 24960

GCD(384, 260) = 99840 / 24960

GCD(384, 260) = 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 252

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

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

GCD(2, 252) = 504 / 252

GCD(2, 252) = 2

GCD of 384, 260, 22, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 886, 61, 682
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• GCD of 231, 146, 25, 178
• GCD of 296, 160, 53, 602
• GCD of 315, 212, 24, 575

1. What is the GCD of 384, 260, 22, 252?

GCD of 384, 260, 22, 252 is 2

2. Where do I get the detailed procedure to find GCD of 384, 260, 22, 252?

You can find a detailed procedure to find GCD of 384, 260, 22, 252 on our page.

3. How to find GCD of 384, 260, 22, 252 on a calculator?

You can find the GCD of 384, 260, 22, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.