GCD of 668, 888, 52, 460 Calculator

Given Input numbers are 668, 888, 52, 460

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

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 888

List of positive integer divisors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 668, 888, 52, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 888, 52, 460 is 4.

Therefore, GCD of numbers 668, 888, 52, 460 is 4

Given Input Data is 668, 888, 52, 460

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

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 888 is 2 x 2 x 2 x 3 x 37

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 460 is 2 x 2 x 5 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(668, 888) = 148296

GCD(668, 888) = ( 668 x 888 ) / 148296

GCD(668, 888) = 593184 / 148296

GCD(668, 888) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 460

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

LCM(4, 460) = 460

GCD(4, 460) = ( 4 x 460 ) / 460

GCD(4, 460) = 1840 / 460

GCD(4, 460) = 4

GCD of 668, 888, 52, 460 is 4

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1. What is the GCD of 668, 888, 52, 460?

GCD of 668, 888, 52, 460 is 4

2. Where do I get the detailed procedure to find GCD of 668, 888, 52, 460?

You can find a detailed procedure to find GCD of 668, 888, 52, 460 on our page.

3. How to find GCD of 668, 888, 52, 460 on a calculator?

You can find the GCD of 668, 888, 52, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.