GCD of 10, 961, 817, 752 Calculator

Given Input numbers are 10, 961, 817, 752

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 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 10, 961, 817, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 961, 817, 752 is 1.

Therefore, GCD of numbers 10, 961, 817, 752 is 1

Given Input Data is 10, 961, 817, 752

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 961 is 31 x 31

Prime Factorization of 817 is 19 x 43

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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, 961) = 9610

GCD(10, 961) = ( 10 x 961 ) / 9610

GCD(10, 961) = 9610 / 9610

GCD(10, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 817

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

LCM(1, 817) = 817

GCD(1, 817) = ( 1 x 817 ) / 817

GCD(1, 817) = 817 / 817

GCD(1, 817) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 10, 961, 817, 752 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 214, 721, 926
• GCD of 60, 369, 177, 233
• GCD of 49, 637, 805, 311
• GCD of 66, 297, 464, 985
• GCD of 98, 464, 324, 784

1. What is the GCD of 10, 961, 817, 752?

GCD of 10, 961, 817, 752 is 1

2. Where do I get the detailed procedure to find GCD of 10, 961, 817, 752?

You can find a detailed procedure to find GCD of 10, 961, 817, 752 on our page.

3. How to find GCD of 10, 961, 817, 752 on a calculator?

You can find the GCD of 10, 961, 817, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.