GCD of 678, 266, 706, 324 Calculator

Given Input numbers are 678, 266, 706, 324

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

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 678, 266, 706, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 266, 706, 324 is 2.

Therefore, GCD of numbers 678, 266, 706, 324 is 2

Given Input Data is 678, 266, 706, 324

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 706 is 2 x 353

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(678, 266) = 90174

GCD(678, 266) = ( 678 x 266 ) / 90174

GCD(678, 266) = 180348 / 90174

GCD(678, 266) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 706

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

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

GCD(2, 706) = 1412 / 706

GCD(2, 706) = 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 678, 266, 706, 324 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 617, 987, 556
• GCD of 213, 843, 974, 140
• GCD of 446, 550, 482, 545
• GCD of 226, 813, 316, 116
• GCD of 831, 443, 617, 814

1. What is the GCD of 678, 266, 706, 324?

GCD of 678, 266, 706, 324 is 2

2. Where do I get the detailed procedure to find GCD of 678, 266, 706, 324?

You can find a detailed procedure to find GCD of 678, 266, 706, 324 on our page.

3. How to find GCD of 678, 266, 706, 324 on a calculator?

You can find the GCD of 678, 266, 706, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.