GCD of 90, 42, 49, 12 Calculator

Given Input numbers are 90, 42, 49, 12

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

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 49

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

1, 7, 49

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Greatest Common Divisior

We found the divisors of 90, 42, 49, 12 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 42, 49, 12 is 1.

Therefore, GCD of numbers 90, 42, 49, 12 is 1

Given Input Data is 90, 42, 49, 12

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

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

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 49 is 7 x 7

Prime Factorization of 12 is 2 x 2 x 3

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(90, 42) = 630

GCD(90, 42) = ( 90 x 42 ) / 630

GCD(90, 42) = 3780 / 630

GCD(90, 42) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 49

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

LCM(6, 49) = 294

GCD(6, 49) = ( 6 x 49 ) / 294

GCD(6, 49) = 294 / 294

GCD(6, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

GCD of 90, 42, 49, 12 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 20, 20, 58
• GCD of 85, 57, 45, 88
• GCD of 27, 63, 14, 61
• GCD of 86, 60, 44, 56
• GCD of 16, 66, 98, 11

1. What is the GCD of 90, 42, 49, 12?

GCD of 90, 42, 49, 12 is 1

2. Where do I get the detailed procedure to find GCD of 90, 42, 49, 12?

You can find a detailed procedure to find GCD of 90, 42, 49, 12 on our page.

3. How to find GCD of 90, 42, 49, 12 on a calculator?

You can find the GCD of 90, 42, 49, 12 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.