GCD of 19, 743, 498, 921 Calculator

Given Input numbers are 19, 743, 498, 921

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 921

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

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 19, 743, 498, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 743, 498, 921 is 1.

Therefore, GCD of numbers 19, 743, 498, 921 is 1

Given Input Data is 19, 743, 498, 921

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

Prime Factorization of 19 is 19

Prime Factorization of 743 is 743

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 921 is 3 x 307

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(19, 743) = 14117

GCD(19, 743) = ( 19 x 743 ) / 14117

GCD(19, 743) = 14117 / 14117

GCD(19, 743) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 19, 743, 498, 921 is 1

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• GCD of 74, 298, 683, 791
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1. What is the GCD of 19, 743, 498, 921?

GCD of 19, 743, 498, 921 is 1

2. Where do I get the detailed procedure to find GCD of 19, 743, 498, 921?

You can find a detailed procedure to find GCD of 19, 743, 498, 921 on our page.

3. How to find GCD of 19, 743, 498, 921 on a calculator?

You can find the GCD of 19, 743, 498, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.