GCD of 968, 866, 408, 818 Calculator

Given Input numbers are 968, 866, 408, 818

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Greatest Common Divisior

We found the divisors of 968, 866, 408, 818 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 866, 408, 818 is 2.

Therefore, GCD of numbers 968, 866, 408, 818 is 2

Given Input Data is 968, 866, 408, 818

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 866 is 2 x 433

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 818 is 2 x 409

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(968, 866) = 419144

GCD(968, 866) = ( 968 x 866 ) / 419144

GCD(968, 866) = 838288 / 419144

GCD(968, 866) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 818

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

LCM(2, 818) = 818

GCD(2, 818) = ( 2 x 818 ) / 818

GCD(2, 818) = 1636 / 818

GCD(2, 818) = 2

GCD of 968, 866, 408, 818 is 2

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1. What is the GCD of 968, 866, 408, 818?

GCD of 968, 866, 408, 818 is 2

2. Where do I get the detailed procedure to find GCD of 968, 866, 408, 818?

You can find a detailed procedure to find GCD of 968, 866, 408, 818 on our page.

3. How to find GCD of 968, 866, 408, 818 on a calculator?

You can find the GCD of 968, 866, 408, 818 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.