GCD of 56, 708, 669, 259 Calculator

Given Input numbers are 56, 708, 669, 259

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 56, 708, 669, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 708, 669, 259 is 1.

Therefore, GCD of numbers 56, 708, 669, 259 is 1

Given Input Data is 56, 708, 669, 259

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 669 is 3 x 223

Prime Factorization of 259 is 7 x 37

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(56, 708) = 9912

GCD(56, 708) = ( 56 x 708 ) / 9912

GCD(56, 708) = 39648 / 9912

GCD(56, 708) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 669

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

LCM(4, 669) = 2676

GCD(4, 669) = ( 4 x 669 ) / 2676

GCD(4, 669) = 2676 / 2676

GCD(4, 669) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 56, 708, 669, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 89, 886, 260, 946
• GCD of 82, 850, 698, 858
• GCD of 14, 857, 369, 889
• GCD of 21, 246, 535, 609
• GCD of 82, 385, 615, 173

1. What is the GCD of 56, 708, 669, 259?

GCD of 56, 708, 669, 259 is 1

2. Where do I get the detailed procedure to find GCD of 56, 708, 669, 259?

You can find a detailed procedure to find GCD of 56, 708, 669, 259 on our page.

3. How to find GCD of 56, 708, 669, 259 on a calculator?

You can find the GCD of 56, 708, 669, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.