GCD of 51, 684, 645, 470 Calculator

Given Input numbers are 51, 684, 645, 470

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 470

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

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

Greatest Common Divisior

We found the divisors of 51, 684, 645, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 684, 645, 470 is 1.

Therefore, GCD of numbers 51, 684, 645, 470 is 1

Given Input Data is 51, 684, 645, 470

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 470 is 2 x 5 x 47

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(51, 684) = 11628

GCD(51, 684) = ( 51 x 684 ) / 11628

GCD(51, 684) = 34884 / 11628

GCD(51, 684) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 645

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

LCM(3, 645) = 645

GCD(3, 645) = ( 3 x 645 ) / 645

GCD(3, 645) = 1935 / 645

GCD(3, 645) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 470

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

LCM(3, 470) = 1410

GCD(3, 470) = ( 3 x 470 ) / 1410

GCD(3, 470) = 1410 / 1410

GCD(3, 470) = 1

GCD of 51, 684, 645, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 554, 814, 225
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• GCD of 35, 852, 114, 577
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• GCD of 38, 933, 616, 857

1. What is the GCD of 51, 684, 645, 470?

GCD of 51, 684, 645, 470 is 1

2. Where do I get the detailed procedure to find GCD of 51, 684, 645, 470?

You can find a detailed procedure to find GCD of 51, 684, 645, 470 on our page.

3. How to find GCD of 51, 684, 645, 470 on a calculator?

You can find the GCD of 51, 684, 645, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.