GCD of 968, 808, 828, 736 Calculator

Given Input numbers are 968, 808, 828, 736

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 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 968, 808, 828, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 808, 828, 736 is 4.

Therefore, GCD of numbers 968, 808, 828, 736 is 4

Given Input Data is 968, 808, 828, 736

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 808 is 2 x 2 x 2 x 101

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 808) = 97768

GCD(968, 808) = ( 968 x 808 ) / 97768

GCD(968, 808) = 782144 / 97768

GCD(968, 808) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 828

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

LCM(8, 828) = 1656

GCD(8, 828) = ( 8 x 828 ) / 1656

GCD(8, 828) = 6624 / 1656

GCD(8, 828) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 736

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

LCM(4, 736) = 736

GCD(4, 736) = ( 4 x 736 ) / 736

GCD(4, 736) = 2944 / 736

GCD(4, 736) = 4

GCD of 968, 808, 828, 736 is 4

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1. What is the GCD of 968, 808, 828, 736?

GCD of 968, 808, 828, 736 is 4

2. Where do I get the detailed procedure to find GCD of 968, 808, 828, 736?

You can find a detailed procedure to find GCD of 968, 808, 828, 736 on our page.

3. How to find GCD of 968, 808, 828, 736 on a calculator?

You can find the GCD of 968, 808, 828, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.