GCD of 678, 629, 35, 656 Calculator

Given Input numbers are 678, 629, 35, 656

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 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

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

Greatest Common Divisior

We found the divisors of 678, 629, 35, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 629, 35, 656 is 1.

Therefore, GCD of numbers 678, 629, 35, 656 is 1

Given Input Data is 678, 629, 35, 656

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 629 is 17 x 37

Prime Factorization of 35 is 5 x 7

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

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, 629) = 426462

GCD(678, 629) = ( 678 x 629 ) / 426462

GCD(678, 629) = 426462 / 426462

GCD(678, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 678, 629, 35, 656 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 540, 41, 132
• GCD of 293, 437, 66, 391
• GCD of 865, 107, 96, 262
• GCD of 258, 311, 47, 808
• GCD of 496, 913, 65, 845

1. What is the GCD of 678, 629, 35, 656?

GCD of 678, 629, 35, 656 is 1

2. Where do I get the detailed procedure to find GCD of 678, 629, 35, 656?

You can find a detailed procedure to find GCD of 678, 629, 35, 656 on our page.

3. How to find GCD of 678, 629, 35, 656 on a calculator?

You can find the GCD of 678, 629, 35, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.