GCD of 10, 310, 996, 785 Calculator

Given Input numbers are 10, 310, 996, 785

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 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 10, 310, 996, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 310, 996, 785 is 1.

Therefore, GCD of numbers 10, 310, 996, 785 is 1

Given Input Data is 10, 310, 996, 785

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 785 is 5 x 157

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, 310) = 310

GCD(10, 310) = ( 10 x 310 ) / 310

GCD(10, 310) = 3100 / 310

GCD(10, 310) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 996

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

LCM(10, 996) = 4980

GCD(10, 996) = ( 10 x 996 ) / 4980

GCD(10, 996) = 9960 / 4980

GCD(10, 996) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 785

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

LCM(2, 785) = 1570

GCD(2, 785) = ( 2 x 785 ) / 1570

GCD(2, 785) = 1570 / 1570

GCD(2, 785) = 1

GCD of 10, 310, 996, 785 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 514, 770, 800
• GCD of 10, 874, 355, 441
• GCD of 31, 829, 884, 626
• GCD of 45, 510, 465, 897
• GCD of 21, 238, 321, 894

1. What is the GCD of 10, 310, 996, 785?

GCD of 10, 310, 996, 785 is 1

2. Where do I get the detailed procedure to find GCD of 10, 310, 996, 785?

You can find a detailed procedure to find GCD of 10, 310, 996, 785 on our page.

3. How to find GCD of 10, 310, 996, 785 on a calculator?

You can find the GCD of 10, 310, 996, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.