GCD of 10, 656, 500, 955 Calculator

Given Input numbers are 10, 656, 500, 955

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Greatest Common Divisior

We found the divisors of 10, 656, 500, 955 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 656, 500, 955 is 1.

Therefore, GCD of numbers 10, 656, 500, 955 is 1

Given Input Data is 10, 656, 500, 955

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

Prime Factorization of 10 is 2 x 5

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

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 955 is 5 x 191

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(10, 656) = 3280

GCD(10, 656) = ( 10 x 656 ) / 3280

GCD(10, 656) = 6560 / 3280

GCD(10, 656) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 955

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

LCM(2, 955) = 1910

GCD(2, 955) = ( 2 x 955 ) / 1910

GCD(2, 955) = 1910 / 1910

GCD(2, 955) = 1

GCD of 10, 656, 500, 955 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 562, 174, 466
• GCD of 53, 427, 352, 715
• GCD of 28, 235, 908, 691
• GCD of 14, 213, 882, 720
• GCD of 70, 334, 362, 879

1. What is the GCD of 10, 656, 500, 955?

GCD of 10, 656, 500, 955 is 1

2. Where do I get the detailed procedure to find GCD of 10, 656, 500, 955?

You can find a detailed procedure to find GCD of 10, 656, 500, 955 on our page.

3. How to find GCD of 10, 656, 500, 955 on a calculator?

You can find the GCD of 10, 656, 500, 955 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.