GCD of 36, 868, 776, 913 Calculator

Given Input numbers are 36, 868, 776, 913

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 36, 868, 776, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 868, 776, 913 is 1.

Therefore, GCD of numbers 36, 868, 776, 913 is 1

Given Input Data is 36, 868, 776, 913

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 868 is 2 x 2 x 7 x 31

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

Prime Factorization of 913 is 11 x 83

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(36, 868) = 7812

GCD(36, 868) = ( 36 x 868 ) / 7812

GCD(36, 868) = 31248 / 7812

GCD(36, 868) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 776

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

LCM(4, 776) = 776

GCD(4, 776) = ( 4 x 776 ) / 776

GCD(4, 776) = 3104 / 776

GCD(4, 776) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 913

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

LCM(4, 913) = 3652

GCD(4, 913) = ( 4 x 913 ) / 3652

GCD(4, 913) = 3652 / 3652

GCD(4, 913) = 1

GCD of 36, 868, 776, 913 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 181, 352, 420
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• GCD of 41, 912, 817, 259
• GCD of 90, 751, 849, 423
• GCD of 61, 110, 579, 643

1. What is the GCD of 36, 868, 776, 913?

GCD of 36, 868, 776, 913 is 1

2. Where do I get the detailed procedure to find GCD of 36, 868, 776, 913?

You can find a detailed procedure to find GCD of 36, 868, 776, 913 on our page.

3. How to find GCD of 36, 868, 776, 913 on a calculator?

You can find the GCD of 36, 868, 776, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.