GCD of 708, 268, 12, 722 Calculator

Given Input numbers are 708, 268, 12, 722

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 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Greatest Common Divisior

We found the divisors of 708, 268, 12, 722 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 268, 12, 722 is 2.

Therefore, GCD of numbers 708, 268, 12, 722 is 2

Given Input Data is 708, 268, 12, 722

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 268 is 2 x 2 x 67

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 722 is 2 x 19 x 19

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, 268) = 47436

GCD(708, 268) = ( 708 x 268 ) / 47436

GCD(708, 268) = 189744 / 47436

GCD(708, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 12

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

LCM(4, 12) = 12

GCD(4, 12) = ( 4 x 12 ) / 12

GCD(4, 12) = 48 / 12

GCD(4, 12) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 722

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

LCM(4, 722) = 1444

GCD(4, 722) = ( 4 x 722 ) / 1444

GCD(4, 722) = 2888 / 1444

GCD(4, 722) = 2

GCD of 708, 268, 12, 722 is 2

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• GCD of 461, 722, 45, 726
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1. What is the GCD of 708, 268, 12, 722?

GCD of 708, 268, 12, 722 is 2

2. Where do I get the detailed procedure to find GCD of 708, 268, 12, 722?

You can find a detailed procedure to find GCD of 708, 268, 12, 722 on our page.

3. How to find GCD of 708, 268, 12, 722 on a calculator?

You can find the GCD of 708, 268, 12, 722 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.