GCD of 121, 500, 885, 349 Calculator

Given Input numbers are 121, 500, 885, 349

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

Divisors of 121

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

1, 11, 121

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 885

List of positive integer divisors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Greatest Common Divisior

We found the divisors of 121, 500, 885, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 500, 885, 349 is 1.

Therefore, GCD of numbers 121, 500, 885, 349 is 1

Given Input Data is 121, 500, 885, 349

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

Prime Factorization of 121 is 11 x 11

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

Prime Factorization of 885 is 3 x 5 x 59

Prime Factorization of 349 is 349

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(121, 500) = 60500

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

GCD(121, 500) = 60500 / 60500

GCD(121, 500) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 885

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

LCM(1, 885) = 885

GCD(1, 885) = ( 1 x 885 ) / 885

GCD(1, 885) = 885 / 885

GCD(1, 885) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 349

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

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

GCD(1, 349) = 349 / 349

GCD(1, 349) = 1

GCD of 121, 500, 885, 349 is 1

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1. What is the GCD of 121, 500, 885, 349?

GCD of 121, 500, 885, 349 is 1

2. Where do I get the detailed procedure to find GCD of 121, 500, 885, 349?

You can find a detailed procedure to find GCD of 121, 500, 885, 349 on our page.

3. How to find GCD of 121, 500, 885, 349 on a calculator?

You can find the GCD of 121, 500, 885, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.