GCD of 49, 31, 56, 21 Calculator

Given Input numbers are 49, 31, 56, 21

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 31

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

1, 31

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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 49, 31, 56, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 31, 56, 21 is 1.

Therefore, GCD of numbers 49, 31, 56, 21 is 1

Given Input Data is 49, 31, 56, 21

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 31 is 31

Prime Factorization of 56 is 2 x 2 x 2 x 7

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(49, 31) = 1519

GCD(49, 31) = ( 49 x 31 ) / 1519

GCD(49, 31) = 1519 / 1519

GCD(49, 31) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 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 49, 31, 56, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 54, 30, 69
• GCD of 99, 92, 44, 56
• GCD of 33, 34, 13, 77
• GCD of 58, 55, 34, 84
• GCD of 48, 62, 50, 43

1. What is the GCD of 49, 31, 56, 21?

GCD of 49, 31, 56, 21 is 1

2. Where do I get the detailed procedure to find GCD of 49, 31, 56, 21?

You can find a detailed procedure to find GCD of 49, 31, 56, 21 on our page.

3. How to find GCD of 49, 31, 56, 21 on a calculator?

You can find the GCD of 49, 31, 56, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.