GCD of 52, 10, 22, 67 Calculator

Given Input numbers are 52, 10, 22, 67

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 22

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

1, 2, 11, 22

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Greatest Common Divisior

We found the divisors of 52, 10, 22, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 10, 22, 67 is 1.

Therefore, GCD of numbers 52, 10, 22, 67 is 1

Given Input Data is 52, 10, 22, 67

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 10 is 2 x 5

Prime Factorization of 22 is 2 x 11

Prime Factorization of 67 is 67

The above numbers do not have any common prime factor. So GCD is 1

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, 10) = 260

GCD(52, 10) = ( 52 x 10 ) / 260

GCD(52, 10) = 520 / 260

GCD(52, 10) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 67

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

LCM(2, 67) = 134

GCD(2, 67) = ( 2 x 67 ) / 134

GCD(2, 67) = 134 / 134

GCD(2, 67) = 1

GCD of 52, 10, 22, 67 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 92, 30, 12
• GCD of 15, 43, 95, 15
• GCD of 93, 12, 46, 82
• GCD of 65, 31, 83, 72
• GCD of 90, 58, 49, 35

1. What is the GCD of 52, 10, 22, 67?

GCD of 52, 10, 22, 67 is 1

2. Where do I get the detailed procedure to find GCD of 52, 10, 22, 67?

You can find a detailed procedure to find GCD of 52, 10, 22, 67 on our page.

3. How to find GCD of 52, 10, 22, 67 on a calculator?

You can find the GCD of 52, 10, 22, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.