GCD of 90, 219, 193, 120 Calculator

Given Input numbers are 90, 219, 193, 120

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 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 90, 219, 193, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 219, 193, 120 is 1.

Therefore, GCD of numbers 90, 219, 193, 120 is 1

Given Input Data is 90, 219, 193, 120

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 219 is 3 x 73

Prime Factorization of 193 is 193

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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, 219) = 6570

GCD(90, 219) = ( 90 x 219 ) / 6570

GCD(90, 219) = 19710 / 6570

GCD(90, 219) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 193

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

LCM(3, 193) = 579

GCD(3, 193) = ( 3 x 193 ) / 579

GCD(3, 193) = 579 / 579

GCD(3, 193) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 90, 219, 193, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 679, 741, 127
• GCD of 40, 398, 773, 248
• GCD of 86, 929, 709, 329
• GCD of 39, 593, 109, 829
• GCD of 39, 901, 159, 601

1. What is the GCD of 90, 219, 193, 120?

GCD of 90, 219, 193, 120 is 1

2. Where do I get the detailed procedure to find GCD of 90, 219, 193, 120?

You can find a detailed procedure to find GCD of 90, 219, 193, 120 on our page.

3. How to find GCD of 90, 219, 193, 120 on a calculator?

You can find the GCD of 90, 219, 193, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.