GCD of 389, 921, 500, 753 Calculator

Given Input numbers are 389, 921, 500, 753

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

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 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 389, 921, 500, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 921, 500, 753 is 1.

Therefore, GCD of numbers 389, 921, 500, 753 is 1

Given Input Data is 389, 921, 500, 753

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

Prime Factorization of 389 is 389

Prime Factorization of 921 is 3 x 307

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

Prime Factorization of 753 is 3 x 251

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(389, 921) = 358269

GCD(389, 921) = ( 389 x 921 ) / 358269

GCD(389, 921) = 358269 / 358269

GCD(389, 921) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 389, 921, 500, 753 is 1

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1. What is the GCD of 389, 921, 500, 753?

GCD of 389, 921, 500, 753 is 1

2. Where do I get the detailed procedure to find GCD of 389, 921, 500, 753?

You can find a detailed procedure to find GCD of 389, 921, 500, 753 on our page.

3. How to find GCD of 389, 921, 500, 753 on a calculator?

You can find the GCD of 389, 921, 500, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.