GCD of 38, 52, 61, 89 Calculator

Given Input numbers are 38, 52, 61, 89

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Greatest Common Divisior

We found the divisors of 38, 52, 61, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 52, 61, 89 is 1.

Therefore, GCD of numbers 38, 52, 61, 89 is 1

Given Input Data is 38, 52, 61, 89

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 61 is 61

Prime Factorization of 89 is 89

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(38, 52) = 988

GCD(38, 52) = ( 38 x 52 ) / 988

GCD(38, 52) = 1976 / 988

GCD(38, 52) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

GCD of 38, 52, 61, 89 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 38, 41, 21
• GCD of 36, 15, 46, 80
• GCD of 27, 27, 69, 11
• GCD of 64, 33, 25, 53
• GCD of 58, 56, 91, 46

1. What is the GCD of 38, 52, 61, 89?

GCD of 38, 52, 61, 89 is 1

2. Where do I get the detailed procedure to find GCD of 38, 52, 61, 89?

You can find a detailed procedure to find GCD of 38, 52, 61, 89 on our page.

3. How to find GCD of 38, 52, 61, 89 on a calculator?

You can find the GCD of 38, 52, 61, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.