GCD of 52, 22, 30, 64 Calculator

Given Input numbers are 52, 22, 30, 64

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

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 22

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

1, 2, 11, 22

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Greatest Common Divisior

We found the divisors of 52, 22, 30, 64 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 22, 30, 64 is 2.

Therefore, GCD of numbers 52, 22, 30, 64 is 2

Given Input Data is 52, 22, 30, 64

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 22 is 2 x 11

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

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(52, 22) = 572

GCD(52, 22) = ( 52 x 22 ) / 572

GCD(52, 22) = 1144 / 572

GCD(52, 22) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

GCD of 52, 22, 30, 64 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 24, 74, 42
• GCD of 25, 33, 38, 15
• GCD of 77, 59, 36, 60
• GCD of 32, 97, 21, 44
• GCD of 48, 27, 21, 39

1. What is the GCD of 52, 22, 30, 64?

GCD of 52, 22, 30, 64 is 2

2. Where do I get the detailed procedure to find GCD of 52, 22, 30, 64?

You can find a detailed procedure to find GCD of 52, 22, 30, 64 on our page.

3. How to find GCD of 52, 22, 30, 64 on a calculator?

You can find the GCD of 52, 22, 30, 64 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.