GCD of 14, 22, 90, 63 Calculator

Given Input numbers are 14, 22, 90, 63

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 22

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

1, 2, 11, 22

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Greatest Common Divisior

We found the divisors of 14, 22, 90, 63 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 22, 90, 63 is 1.

Therefore, GCD of numbers 14, 22, 90, 63 is 1

Given Input Data is 14, 22, 90, 63

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 22 is 2 x 11

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 63 is 3 x 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(14, 22) = 154

GCD(14, 22) = ( 14 x 22 ) / 154

GCD(14, 22) = 308 / 154

GCD(14, 22) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 63

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

LCM(2, 63) = 126

GCD(2, 63) = ( 2 x 63 ) / 126

GCD(2, 63) = 126 / 126

GCD(2, 63) = 1

GCD of 14, 22, 90, 63 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 81, 54, 53
• GCD of 33, 67, 28, 94
• GCD of 17, 28, 88, 64
• GCD of 89, 38, 28, 63
• GCD of 93, 83, 24, 52

1. What is the GCD of 14, 22, 90, 63?

GCD of 14, 22, 90, 63 is 1

2. Where do I get the detailed procedure to find GCD of 14, 22, 90, 63?

You can find a detailed procedure to find GCD of 14, 22, 90, 63 on our page.

3. How to find GCD of 14, 22, 90, 63 on a calculator?

You can find the GCD of 14, 22, 90, 63 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.