GCD of 776, 996, 101, 517 Calculator

Given Input numbers are 776, 996, 101, 517

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

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

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 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 776, 996, 101, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 996, 101, 517 is 1.

Therefore, GCD of numbers 776, 996, 101, 517 is 1

Given Input Data is 776, 996, 101, 517

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

Prime Factorization of 776 is 2 x 2 x 2 x 97

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

Prime Factorization of 101 is 101

Prime Factorization of 517 is 11 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(776, 996) = 193224

GCD(776, 996) = ( 776 x 996 ) / 193224

GCD(776, 996) = 772896 / 193224

GCD(776, 996) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 101

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

LCM(4, 101) = 404

GCD(4, 101) = ( 4 x 101 ) / 404

GCD(4, 101) = 404 / 404

GCD(4, 101) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 517

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

LCM(1, 517) = 517

GCD(1, 517) = ( 1 x 517 ) / 517

GCD(1, 517) = 517 / 517

GCD(1, 517) = 1

GCD of 776, 996, 101, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 735, 234, 400, 771
• GCD of 420, 925, 551, 152
• GCD of 466, 770, 183, 587
• GCD of 432, 104, 837, 107
• GCD of 287, 839, 419, 729

1. What is the GCD of 776, 996, 101, 517?

GCD of 776, 996, 101, 517 is 1

2. Where do I get the detailed procedure to find GCD of 776, 996, 101, 517?

You can find a detailed procedure to find GCD of 776, 996, 101, 517 on our page.

3. How to find GCD of 776, 996, 101, 517 on a calculator?

You can find the GCD of 776, 996, 101, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.