GCD of 120, 651, 491 Calculator

Given Input numbers are 120, 651, 491

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 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 491

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

1, 491

Greatest Common Divisior

We found the divisors of 120, 651, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 651, 491 is 1.

Therefore, GCD of numbers 120, 651, 491 is 1

Given Input Data is 120, 651, 491

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 651 is 3 x 7 x 31

Prime Factorization of 491 is 491

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, 651) = 26040

GCD(120, 651) = ( 120 x 651 ) / 26040

GCD(120, 651) = 78120 / 26040

GCD(120, 651) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 491

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

LCM(3, 491) = 1473

GCD(3, 491) = ( 3 x 491 ) / 1473

GCD(3, 491) = 1473 / 1473

GCD(3, 491) = 1

GCD of 120, 651, 491 is 1

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1. What is the GCD of 120, 651, 491?

GCD of 120, 651, 491 is 1

2. Where do I get the detailed procedure to find GCD of 120, 651, 491?

You can find a detailed procedure to find GCD of 120, 651, 491 on our page.

3. How to find GCD of 120, 651, 491 on a calculator?

You can find the GCD of 120, 651, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.