GCD of 963, 509, 19, 120 Calculator

Given Input numbers are 963, 509, 19, 120

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

Divisors of 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

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 963, 509, 19, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 509, 19, 120 is 1.

Therefore, GCD of numbers 963, 509, 19, 120 is 1

Given Input Data is 963, 509, 19, 120

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

Prime Factorization of 963 is 3 x 3 x 107

Prime Factorization of 509 is 509

Prime Factorization of 19 is 19

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(963, 509) = 490167

GCD(963, 509) = ( 963 x 509 ) / 490167

GCD(963, 509) = 490167 / 490167

GCD(963, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 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 963, 509, 19, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 539, 191, 89, 368
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• GCD of 380, 274, 22, 577
• GCD of 151, 602, 30, 365
• GCD of 444, 681, 68, 330

1. What is the GCD of 963, 509, 19, 120?

GCD of 963, 509, 19, 120 is 1

2. Where do I get the detailed procedure to find GCD of 963, 509, 19, 120?

You can find a detailed procedure to find GCD of 963, 509, 19, 120 on our page.

3. How to find GCD of 963, 509, 19, 120 on a calculator?

You can find the GCD of 963, 509, 19, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.