GCD of 678, 675, 22, 956 Calculator

Given Input numbers are 678, 675, 22, 956

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 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 22

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

1, 2, 11, 22

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 678, 675, 22, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 675, 22, 956 is 1.

Therefore, GCD of numbers 678, 675, 22, 956 is 1

Given Input Data is 678, 675, 22, 956

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 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 22 is 2 x 11

Prime Factorization of 956 is 2 x 2 x 239

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(678, 675) = 152550

GCD(678, 675) = ( 678 x 675 ) / 152550

GCD(678, 675) = 457650 / 152550

GCD(678, 675) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 22

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

LCM(3, 22) = 66

GCD(3, 22) = ( 3 x 22 ) / 66

GCD(3, 22) = 66 / 66

GCD(3, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 678, 675, 22, 956 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 869, 91, 234
• GCD of 300, 126, 86, 948
• GCD of 292, 318, 41, 293
• GCD of 317, 735, 25, 187
• GCD of 656, 211, 72, 754

1. What is the GCD of 678, 675, 22, 956?

GCD of 678, 675, 22, 956 is 1

2. Where do I get the detailed procedure to find GCD of 678, 675, 22, 956?

You can find a detailed procedure to find GCD of 678, 675, 22, 956 on our page.

3. How to find GCD of 678, 675, 22, 956 on a calculator?

You can find the GCD of 678, 675, 22, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.