GCD of 90, 517, 780, 120 Calculator

Given Input numbers are 90, 517, 780, 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 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

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, 517, 780, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 517, 780, 120 is 1.

Therefore, GCD of numbers 90, 517, 780, 120 is 1

Given Input Data is 90, 517, 780, 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 517 is 11 x 47

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

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, 517) = 46530

GCD(90, 517) = ( 90 x 517 ) / 46530

GCD(90, 517) = 46530 / 46530

GCD(90, 517) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 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, 517, 780, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 686, 586, 321
• GCD of 32, 350, 809, 157
• GCD of 11, 644, 193, 660
• GCD of 65, 358, 468, 144
• GCD of 18, 654, 291, 545

1. What is the GCD of 90, 517, 780, 120?

GCD of 90, 517, 780, 120 is 1

2. Where do I get the detailed procedure to find GCD of 90, 517, 780, 120?

You can find a detailed procedure to find GCD of 90, 517, 780, 120 on our page.

3. How to find GCD of 90, 517, 780, 120 on a calculator?

You can find the GCD of 90, 517, 780, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.