GCD of 423, 470, 427, 102 Calculator

Given Input numbers are 423, 470, 427, 102

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

Divisors of 423

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

1, 3, 9, 47, 141, 423

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 102

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

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

Greatest Common Divisior

We found the divisors of 423, 470, 427, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 470, 427, 102 is 1.

Therefore, GCD of numbers 423, 470, 427, 102 is 1

Given Input Data is 423, 470, 427, 102

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 427 is 7 x 61

Prime Factorization of 102 is 2 x 3 x 17

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(423, 470) = 4230

GCD(423, 470) = ( 423 x 470 ) / 4230

GCD(423, 470) = 198810 / 4230

GCD(423, 470) = 47

Step2:

Here we consider the GCD from the above i.e. 47 as first number and the next as 427

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

LCM(47, 427) = 20069

GCD(47, 427) = ( 47 x 427 ) / 20069

GCD(47, 427) = 20069 / 20069

GCD(47, 427) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 423, 470, 427, 102 is 1

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1. What is the GCD of 423, 470, 427, 102?

GCD of 423, 470, 427, 102 is 1

2. Where do I get the detailed procedure to find GCD of 423, 470, 427, 102?

You can find a detailed procedure to find GCD of 423, 470, 427, 102 on our page.

3. How to find GCD of 423, 470, 427, 102 on a calculator?

You can find the GCD of 423, 470, 427, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.