GCD of 12, 656, 278, 565 Calculator

Given Input numbers are 12, 656, 278, 565

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

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 12, 656, 278, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 656, 278, 565 is 1.

Therefore, GCD of numbers 12, 656, 278, 565 is 1

Given Input Data is 12, 656, 278, 565

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

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 278 is 2 x 139

Prime Factorization of 565 is 5 x 113

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(12, 656) = 1968

GCD(12, 656) = ( 12 x 656 ) / 1968

GCD(12, 656) = 7872 / 1968

GCD(12, 656) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 278

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

LCM(4, 278) = 556

GCD(4, 278) = ( 4 x 278 ) / 556

GCD(4, 278) = 1112 / 556

GCD(4, 278) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 565

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

LCM(2, 565) = 1130

GCD(2, 565) = ( 2 x 565 ) / 1130

GCD(2, 565) = 1130 / 1130

GCD(2, 565) = 1

GCD of 12, 656, 278, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 15, 533, 830, 422
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• GCD of 23, 901, 300, 818
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• GCD of 51, 681, 121, 752

1. What is the GCD of 12, 656, 278, 565?

GCD of 12, 656, 278, 565 is 1

2. Where do I get the detailed procedure to find GCD of 12, 656, 278, 565?

You can find a detailed procedure to find GCD of 12, 656, 278, 565 on our page.

3. How to find GCD of 12, 656, 278, 565 on a calculator?

You can find the GCD of 12, 656, 278, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.