GCD of 678, 600, 22, 334 Calculator

Given Input numbers are 678, 600, 22, 334

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 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 678, 600, 22, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 600, 22, 334 is 2.

Therefore, GCD of numbers 678, 600, 22, 334 is 2

Given Input Data is 678, 600, 22, 334

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 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 22 is 2 x 11

Prime Factorization of 334 is 2 x 167

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, 600) = 67800

GCD(678, 600) = ( 678 x 600 ) / 67800

GCD(678, 600) = 406800 / 67800

GCD(678, 600) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 22

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

LCM(6, 22) = 66

GCD(6, 22) = ( 6 x 22 ) / 66

GCD(6, 22) = 132 / 66

GCD(6, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 334

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

LCM(2, 334) = 334

GCD(2, 334) = ( 2 x 334 ) / 334

GCD(2, 334) = 668 / 334

GCD(2, 334) = 2

GCD of 678, 600, 22, 334 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 567, 58, 220
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• GCD of 722, 463, 45, 407

1. What is the GCD of 678, 600, 22, 334?

GCD of 678, 600, 22, 334 is 2

2. Where do I get the detailed procedure to find GCD of 678, 600, 22, 334?

You can find a detailed procedure to find GCD of 678, 600, 22, 334 on our page.

3. How to find GCD of 678, 600, 22, 334 on a calculator?

You can find the GCD of 678, 600, 22, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.