GCD of 318, 200, 776, 836 Calculator

Given Input numbers are 318, 200, 776, 836

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Greatest Common Divisior

We found the divisors of 318, 200, 776, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 200, 776, 836 is 2.

Therefore, GCD of numbers 318, 200, 776, 836 is 2

Given Input Data is 318, 200, 776, 836

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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

Prime Factorization of 836 is 2 x 2 x 11 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(318, 200) = 31800

GCD(318, 200) = ( 318 x 200 ) / 31800

GCD(318, 200) = 63600 / 31800

GCD(318, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 776

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

LCM(2, 776) = 776

GCD(2, 776) = ( 2 x 776 ) / 776

GCD(2, 776) = 1552 / 776

GCD(2, 776) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 836

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

LCM(2, 836) = 836

GCD(2, 836) = ( 2 x 836 ) / 836

GCD(2, 836) = 1672 / 836

GCD(2, 836) = 2

GCD of 318, 200, 776, 836 is 2

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1. What is the GCD of 318, 200, 776, 836?

GCD of 318, 200, 776, 836 is 2

2. Where do I get the detailed procedure to find GCD of 318, 200, 776, 836?

You can find a detailed procedure to find GCD of 318, 200, 776, 836 on our page.

3. How to find GCD of 318, 200, 776, 836 on a calculator?

You can find the GCD of 318, 200, 776, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.