GCD of 430, 796, 37, 864 Calculator

Given Input numbers are 430, 796, 37, 864

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 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 430, 796, 37, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 430, 796, 37, 864 is 1.

Therefore, GCD of numbers 430, 796, 37, 864 is 1

Given Input Data is 430, 796, 37, 864

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 796 is 2 x 2 x 199

Prime Factorization of 37 is 37

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

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, 796) = 171140

GCD(430, 796) = ( 430 x 796 ) / 171140

GCD(430, 796) = 342280 / 171140

GCD(430, 796) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 430, 796, 37, 864 is 1

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1. What is the GCD of 430, 796, 37, 864?

GCD of 430, 796, 37, 864 is 1

2. Where do I get the detailed procedure to find GCD of 430, 796, 37, 864?

You can find a detailed procedure to find GCD of 430, 796, 37, 864 on our page.

3. How to find GCD of 430, 796, 37, 864 on a calculator?

You can find the GCD of 430, 796, 37, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.