GCD of 899, 381, 83, 642 Calculator

Given Input numbers are 899, 381, 83, 642

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

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 899, 381, 83, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 899, 381, 83, 642 is 1.

Therefore, GCD of numbers 899, 381, 83, 642 is 1

Given Input Data is 899, 381, 83, 642

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

Prime Factorization of 899 is 29 x 31

Prime Factorization of 381 is 3 x 127

Prime Factorization of 83 is 83

Prime Factorization of 642 is 2 x 3 x 107

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(899, 381) = 342519

GCD(899, 381) = ( 899 x 381 ) / 342519

GCD(899, 381) = 342519 / 342519

GCD(899, 381) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 899, 381, 83, 642 is 1

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1. What is the GCD of 899, 381, 83, 642?

GCD of 899, 381, 83, 642 is 1

2. Where do I get the detailed procedure to find GCD of 899, 381, 83, 642?

You can find a detailed procedure to find GCD of 899, 381, 83, 642 on our page.

3. How to find GCD of 899, 381, 83, 642 on a calculator?

You can find the GCD of 899, 381, 83, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.