GCD of 104, 888, 470, 662 Calculator

Given Input numbers are 104, 888, 470, 662

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

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 104, 888, 470, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 104, 888, 470, 662 is 2.

Therefore, GCD of numbers 104, 888, 470, 662 is 2

Given Input Data is 104, 888, 470, 662

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

Prime Factorization of 104 is 2 x 2 x 2 x 13

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 662 is 2 x 331

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(104, 888) = 11544

GCD(104, 888) = ( 104 x 888 ) / 11544

GCD(104, 888) = 92352 / 11544

GCD(104, 888) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 470

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

LCM(8, 470) = 1880

GCD(8, 470) = ( 8 x 470 ) / 1880

GCD(8, 470) = 3760 / 1880

GCD(8, 470) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 662

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

LCM(2, 662) = 662

GCD(2, 662) = ( 2 x 662 ) / 662

GCD(2, 662) = 1324 / 662

GCD(2, 662) = 2

GCD of 104, 888, 470, 662 is 2

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1. What is the GCD of 104, 888, 470, 662?

GCD of 104, 888, 470, 662 is 2

2. Where do I get the detailed procedure to find GCD of 104, 888, 470, 662?

You can find a detailed procedure to find GCD of 104, 888, 470, 662 on our page.

3. How to find GCD of 104, 888, 470, 662 on a calculator?

You can find the GCD of 104, 888, 470, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.