GCD of 664, 250, 430, 104 Calculator

Given Input numbers are 664, 250, 430, 104

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 104

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

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

Greatest Common Divisior

We found the divisors of 664, 250, 430, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 250, 430, 104 is 2.

Therefore, GCD of numbers 664, 250, 430, 104 is 2

Given Input Data is 664, 250, 430, 104

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 430 is 2 x 5 x 43

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

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(664, 250) = 83000

GCD(664, 250) = ( 664 x 250 ) / 83000

GCD(664, 250) = 166000 / 83000

GCD(664, 250) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 430

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

LCM(2, 430) = 430

GCD(2, 430) = ( 2 x 430 ) / 430

GCD(2, 430) = 860 / 430

GCD(2, 430) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 104

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

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

GCD(2, 104) = 208 / 104

GCD(2, 104) = 2

GCD of 664, 250, 430, 104 is 2

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1. What is the GCD of 664, 250, 430, 104?

GCD of 664, 250, 430, 104 is 2

2. Where do I get the detailed procedure to find GCD of 664, 250, 430, 104?

You can find a detailed procedure to find GCD of 664, 250, 430, 104 on our page.

3. How to find GCD of 664, 250, 430, 104 on a calculator?

You can find the GCD of 664, 250, 430, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.