GCD of 121, 424, 213, 759 Calculator

Given Input numbers are 121, 424, 213, 759

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 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 121, 424, 213, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 424, 213, 759 is 1.

Therefore, GCD of numbers 121, 424, 213, 759 is 1

Given Input Data is 121, 424, 213, 759

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 213 is 3 x 71

Prime Factorization of 759 is 3 x 11 x 23

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, 424) = 51304

GCD(121, 424) = ( 121 x 424 ) / 51304

GCD(121, 424) = 51304 / 51304

GCD(121, 424) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 121, 424, 213, 759 is 1

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1. What is the GCD of 121, 424, 213, 759?

GCD of 121, 424, 213, 759 is 1

2. Where do I get the detailed procedure to find GCD of 121, 424, 213, 759?

You can find a detailed procedure to find GCD of 121, 424, 213, 759 on our page.

3. How to find GCD of 121, 424, 213, 759 on a calculator?

You can find the GCD of 121, 424, 213, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.