GCD of 708, 272, 10, 324 Calculator

Given Input numbers are 708, 272, 10, 324

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 10

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

1, 2, 5, 10

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 708, 272, 10, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 272, 10, 324 is 2.

Therefore, GCD of numbers 708, 272, 10, 324 is 2

Given Input Data is 708, 272, 10, 324

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 10 is 2 x 5

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(708, 272) = 48144

GCD(708, 272) = ( 708 x 272 ) / 48144

GCD(708, 272) = 192576 / 48144

GCD(708, 272) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 10

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

LCM(4, 10) = 20

GCD(4, 10) = ( 4 x 10 ) / 20

GCD(4, 10) = 40 / 20

GCD(4, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 324

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

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

GCD(2, 324) = 648 / 324

GCD(2, 324) = 2

GCD of 708, 272, 10, 324 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 488, 24, 659
• GCD of 156, 338, 91, 175
• GCD of 385, 106, 90, 567
• GCD of 235, 398, 68, 834
• GCD of 364, 513, 32, 842

1. What is the GCD of 708, 272, 10, 324?

GCD of 708, 272, 10, 324 is 2

2. Where do I get the detailed procedure to find GCD of 708, 272, 10, 324?

You can find a detailed procedure to find GCD of 708, 272, 10, 324 on our page.

3. How to find GCD of 708, 272, 10, 324 on a calculator?

You can find the GCD of 708, 272, 10, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.