GCD of 120, 764, 488, 815 Calculator

Given Input numbers are 120, 764, 488, 815

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 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Greatest Common Divisior

We found the divisors of 120, 764, 488, 815 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 764, 488, 815 is 1.

Therefore, GCD of numbers 120, 764, 488, 815 is 1

Given Input Data is 120, 764, 488, 815

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 764 is 2 x 2 x 191

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 815 is 5 x 163

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, 764) = 22920

GCD(120, 764) = ( 120 x 764 ) / 22920

GCD(120, 764) = 91680 / 22920

GCD(120, 764) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 488

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

LCM(4, 488) = 488

GCD(4, 488) = ( 4 x 488 ) / 488

GCD(4, 488) = 1952 / 488

GCD(4, 488) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 815

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

LCM(4, 815) = 3260

GCD(4, 815) = ( 4 x 815 ) / 3260

GCD(4, 815) = 3260 / 3260

GCD(4, 815) = 1

GCD of 120, 764, 488, 815 is 1

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1. What is the GCD of 120, 764, 488, 815?

GCD of 120, 764, 488, 815 is 1

2. Where do I get the detailed procedure to find GCD of 120, 764, 488, 815?

You can find a detailed procedure to find GCD of 120, 764, 488, 815 on our page.

3. How to find GCD of 120, 764, 488, 815 on a calculator?

You can find the GCD of 120, 764, 488, 815 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.