GCD of 102, 423, 469, 642 Calculator

Given Input numbers are 102, 423, 469, 642

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

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 102, 423, 469, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 423, 469, 642 is 1.

Therefore, GCD of numbers 102, 423, 469, 642 is 1

Given Input Data is 102, 423, 469, 642

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 469 is 7 x 67

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(102, 423) = 14382

GCD(102, 423) = ( 102 x 423 ) / 14382

GCD(102, 423) = 43146 / 14382

GCD(102, 423) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 469

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

LCM(3, 469) = 1407

GCD(3, 469) = ( 3 x 469 ) / 1407

GCD(3, 469) = 1407 / 1407

GCD(3, 469) = 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 102, 423, 469, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 876, 782, 725
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1. What is the GCD of 102, 423, 469, 642?

GCD of 102, 423, 469, 642 is 1

2. Where do I get the detailed procedure to find GCD of 102, 423, 469, 642?

You can find a detailed procedure to find GCD of 102, 423, 469, 642 on our page.

3. How to find GCD of 102, 423, 469, 642 on a calculator?

You can find the GCD of 102, 423, 469, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.