GCD of 120, 491, 319 Calculator

Given Input numbers are 120, 491, 319

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

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

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 120, 491, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 491, 319 is 1.

Therefore, GCD of numbers 120, 491, 319 is 1

Given Input Data is 120, 491, 319

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

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

Prime Factorization of 491 is 491

Prime Factorization of 319 is 11 x 29

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(120, 491) = 58920

GCD(120, 491) = ( 120 x 491 ) / 58920

GCD(120, 491) = 58920 / 58920

GCD(120, 491) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

GCD of 120, 491, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 889, 780, 946
• GCD of 558, 568, 502
• GCD of 146, 869, 248
• GCD of 978, 292, 856
• GCD of 277, 743, 578

1. What is the GCD of 120, 491, 319?

GCD of 120, 491, 319 is 1

2. Where do I get the detailed procedure to find GCD of 120, 491, 319?

You can find a detailed procedure to find GCD of 120, 491, 319 on our page.

3. How to find GCD of 120, 491, 319 on a calculator?

You can find the GCD of 120, 491, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.