GCD of 84, 30, 64, 51 Calculator

Given Input numbers are 84, 30, 64, 51

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 51

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

1, 3, 17, 51

Greatest Common Divisior

We found the divisors of 84, 30, 64, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 30, 64, 51 is 1.

Therefore, GCD of numbers 84, 30, 64, 51 is 1

Given Input Data is 84, 30, 64, 51

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 51 is 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(84, 30) = 420

GCD(84, 30) = ( 84 x 30 ) / 420

GCD(84, 30) = 2520 / 420

GCD(84, 30) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 64

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

LCM(6, 64) = 192

GCD(6, 64) = ( 6 x 64 ) / 192

GCD(6, 64) = 384 / 192

GCD(6, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

GCD of 84, 30, 64, 51 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 53, 32, 83
• GCD of 66, 99, 61, 74
• GCD of 41, 32, 89, 40
• GCD of 86, 48, 89, 94
• GCD of 77, 24, 34, 78

1. What is the GCD of 84, 30, 64, 51?

GCD of 84, 30, 64, 51 is 1

2. Where do I get the detailed procedure to find GCD of 84, 30, 64, 51?

You can find a detailed procedure to find GCD of 84, 30, 64, 51 on our page.

3. How to find GCD of 84, 30, 64, 51 on a calculator?

You can find the GCD of 84, 30, 64, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.