GCD of 48, 31, 89, 21 Calculator

Given Input numbers are 48, 31, 89, 21

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

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 89

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

1, 89

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 48, 31, 89, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 31, 89, 21 is 1.

Therefore, GCD of numbers 48, 31, 89, 21 is 1

Given Input Data is 48, 31, 89, 21

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

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 31 is 31

Prime Factorization of 89 is 89

Prime Factorization of 21 is 3 x 7

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(48, 31) = 1488

GCD(48, 31) = ( 48 x 31 ) / 1488

GCD(48, 31) = 1488 / 1488

GCD(48, 31) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 48, 31, 89, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 81, 81, 35
• GCD of 67, 89, 29, 81
• GCD of 36, 10, 43, 53
• GCD of 89, 31, 80, 24
• GCD of 21, 99, 91, 57

1. What is the GCD of 48, 31, 89, 21?

GCD of 48, 31, 89, 21 is 1

2. Where do I get the detailed procedure to find GCD of 48, 31, 89, 21?

You can find a detailed procedure to find GCD of 48, 31, 89, 21 on our page.

3. How to find GCD of 48, 31, 89, 21 on a calculator?

You can find the GCD of 48, 31, 89, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.