GCD of 84, 72, 17, 10 Calculator

Given Input numbers are 84, 72, 17, 10

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 84, 72, 17, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 72, 17, 10 is 1.

Therefore, GCD of numbers 84, 72, 17, 10 is 1

Given Input Data is 84, 72, 17, 10

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 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 17 is 17

Prime Factorization of 10 is 2 x 5

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, 72) = 504

GCD(84, 72) = ( 84 x 72 ) / 504

GCD(84, 72) = 6048 / 504

GCD(84, 72) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 17

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

LCM(12, 17) = 204

GCD(12, 17) = ( 12 x 17 ) / 204

GCD(12, 17) = 204 / 204

GCD(12, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 10

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

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

GCD(1, 10) = 10 / 10

GCD(1, 10) = 1

GCD of 84, 72, 17, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 31, 10, 60
• GCD of 52, 82, 70, 81
• GCD of 20, 53, 83, 45
• GCD of 78, 53, 53, 53
• GCD of 36, 98, 65, 67

1. What is the GCD of 84, 72, 17, 10?

GCD of 84, 72, 17, 10 is 1

2. Where do I get the detailed procedure to find GCD of 84, 72, 17, 10?

You can find a detailed procedure to find GCD of 84, 72, 17, 10 on our page.

3. How to find GCD of 84, 72, 17, 10 on a calculator?

You can find the GCD of 84, 72, 17, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.