GCD of 430, 756, 488, 908 Calculator

Given Input numbers are 430, 756, 488, 908

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

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 430, 756, 488, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 430, 756, 488, 908 is 2.

Therefore, GCD of numbers 430, 756, 488, 908 is 2

Given Input Data is 430, 756, 488, 908

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

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 908 is 2 x 2 x 227

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(430, 756) = 162540

GCD(430, 756) = ( 430 x 756 ) / 162540

GCD(430, 756) = 325080 / 162540

GCD(430, 756) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 488

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

LCM(2, 488) = 488

GCD(2, 488) = ( 2 x 488 ) / 488

GCD(2, 488) = 976 / 488

GCD(2, 488) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 908

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

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

GCD(2, 908) = 1816 / 908

GCD(2, 908) = 2

GCD of 430, 756, 488, 908 is 2

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1. What is the GCD of 430, 756, 488, 908?

GCD of 430, 756, 488, 908 is 2

2. Where do I get the detailed procedure to find GCD of 430, 756, 488, 908?

You can find a detailed procedure to find GCD of 430, 756, 488, 908 on our page.

3. How to find GCD of 430, 756, 488, 908 on a calculator?

You can find the GCD of 430, 756, 488, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.