GCD of 500, 121, 392, 121 Calculator

Given Input numbers are 500, 121, 392, 121

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

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 500, 121, 392, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 500, 121, 392, 121 is 1.

Therefore, GCD of numbers 500, 121, 392, 121 is 1

Given Input Data is 500, 121, 392, 121

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 121 is 11 x 11

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 121 is 11 x 11

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(500, 121) = 60500

GCD(500, 121) = ( 500 x 121 ) / 60500

GCD(500, 121) = 60500 / 60500

GCD(500, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 392

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

LCM(1, 392) = 392

GCD(1, 392) = ( 1 x 392 ) / 392

GCD(1, 392) = 392 / 392

GCD(1, 392) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

GCD of 500, 121, 392, 121 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 581, 185, 649
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• GCD of 867, 862, 852, 453
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• GCD of 275, 447, 311, 995

1. What is the GCD of 500, 121, 392, 121?

GCD of 500, 121, 392, 121 is 1

2. Where do I get the detailed procedure to find GCD of 500, 121, 392, 121?

You can find a detailed procedure to find GCD of 500, 121, 392, 121 on our page.

3. How to find GCD of 500, 121, 392, 121 on a calculator?

You can find the GCD of 500, 121, 392, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.