GCD of 120, 133, 557, 817 Calculator

Given Input numbers are 120, 133, 557, 817

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 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 120, 133, 557, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 133, 557, 817 is 1.

Therefore, GCD of numbers 120, 133, 557, 817 is 1

Given Input Data is 120, 133, 557, 817

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 133 is 7 x 19

Prime Factorization of 557 is 557

Prime Factorization of 817 is 19 x 43

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, 133) = 15960

GCD(120, 133) = ( 120 x 133 ) / 15960

GCD(120, 133) = 15960 / 15960

GCD(120, 133) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 817

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

LCM(1, 817) = 817

GCD(1, 817) = ( 1 x 817 ) / 817

GCD(1, 817) = 817 / 817

GCD(1, 817) = 1

GCD of 120, 133, 557, 817 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 127, 362, 211, 206
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• GCD of 327, 434, 293, 227
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• GCD of 864, 563, 689, 139

1. What is the GCD of 120, 133, 557, 817?

GCD of 120, 133, 557, 817 is 1

2. Where do I get the detailed procedure to find GCD of 120, 133, 557, 817?

You can find a detailed procedure to find GCD of 120, 133, 557, 817 on our page.

3. How to find GCD of 120, 133, 557, 817 on a calculator?

You can find the GCD of 120, 133, 557, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.