GCD of 643, 354, 19, 993 Calculator

Given Input numbers are 643, 354, 19, 993

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 19

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

1, 19

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 643, 354, 19, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 354, 19, 993 is 1.

Therefore, GCD of numbers 643, 354, 19, 993 is 1

Given Input Data is 643, 354, 19, 993

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

Prime Factorization of 643 is 643

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 19 is 19

Prime Factorization of 993 is 3 x 331

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(643, 354) = 227622

GCD(643, 354) = ( 643 x 354 ) / 227622

GCD(643, 354) = 227622 / 227622

GCD(643, 354) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 643, 354, 19, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 547, 209, 86, 353
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• GCD of 928, 990, 77, 846
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• GCD of 399, 212, 14, 411

1. What is the GCD of 643, 354, 19, 993?

GCD of 643, 354, 19, 993 is 1

2. Where do I get the detailed procedure to find GCD of 643, 354, 19, 993?

You can find a detailed procedure to find GCD of 643, 354, 19, 993 on our page.

3. How to find GCD of 643, 354, 19, 993 on a calculator?

You can find the GCD of 643, 354, 19, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.