GCD of 777, 996, 702, 796 Calculator

Given Input numbers are 777, 996, 702, 796

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

Divisors of 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

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 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 777, 996, 702, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 996, 702, 796 is 1.

Therefore, GCD of numbers 777, 996, 702, 796 is 1

Given Input Data is 777, 996, 702, 796

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

Prime Factorization of 777 is 3 x 7 x 37

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 796 is 2 x 2 x 199

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(777, 996) = 257964

GCD(777, 996) = ( 777 x 996 ) / 257964

GCD(777, 996) = 773892 / 257964

GCD(777, 996) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 702

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

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

GCD(3, 702) = 2106 / 702

GCD(3, 702) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 796

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

LCM(3, 796) = 2388

GCD(3, 796) = ( 3 x 796 ) / 2388

GCD(3, 796) = 2388 / 2388

GCD(3, 796) = 1

GCD of 777, 996, 702, 796 is 1

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1. What is the GCD of 777, 996, 702, 796?

GCD of 777, 996, 702, 796 is 1

2. Where do I get the detailed procedure to find GCD of 777, 996, 702, 796?

You can find a detailed procedure to find GCD of 777, 996, 702, 796 on our page.

3. How to find GCD of 777, 996, 702, 796 on a calculator?

You can find the GCD of 777, 996, 702, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.