GCD of 49, 23, 22, 31 Calculator

Given Input numbers are 49, 23, 22, 31

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 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 22

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

1, 2, 11, 22

Divisors of 31

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

1, 31

Greatest Common Divisior

We found the divisors of 49, 23, 22, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 23, 22, 31 is 1.

Therefore, GCD of numbers 49, 23, 22, 31 is 1

Given Input Data is 49, 23, 22, 31

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 23 is 23

Prime Factorization of 22 is 2 x 11

Prime Factorization of 31 is 31

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, 23) = 1127

GCD(49, 23) = ( 49 x 23 ) / 1127

GCD(49, 23) = 1127 / 1127

GCD(49, 23) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

GCD of 49, 23, 22, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 67, 36, 86
• GCD of 71, 59, 89, 27
• GCD of 84, 37, 62, 21
• GCD of 72, 61, 23, 65
• GCD of 44, 82, 70, 71

1. What is the GCD of 49, 23, 22, 31?

GCD of 49, 23, 22, 31 is 1

2. Where do I get the detailed procedure to find GCD of 49, 23, 22, 31?

You can find a detailed procedure to find GCD of 49, 23, 22, 31 on our page.

3. How to find GCD of 49, 23, 22, 31 on a calculator?

You can find the GCD of 49, 23, 22, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.