GCD of 864, 431, 350, 410 Calculator

Given Input numbers are 864, 431, 350, 410

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

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Greatest Common Divisior

We found the divisors of 864, 431, 350, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 431, 350, 410 is 1.

Therefore, GCD of numbers 864, 431, 350, 410 is 1

Given Input Data is 864, 431, 350, 410

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

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

Prime Factorization of 431 is 431

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 410 is 2 x 5 x 41

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(864, 431) = 372384

GCD(864, 431) = ( 864 x 431 ) / 372384

GCD(864, 431) = 372384 / 372384

GCD(864, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 410

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

LCM(1, 410) = 410

GCD(1, 410) = ( 1 x 410 ) / 410

GCD(1, 410) = 410 / 410

GCD(1, 410) = 1

GCD of 864, 431, 350, 410 is 1

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1. What is the GCD of 864, 431, 350, 410?

GCD of 864, 431, 350, 410 is 1

2. Where do I get the detailed procedure to find GCD of 864, 431, 350, 410?

You can find a detailed procedure to find GCD of 864, 431, 350, 410 on our page.

3. How to find GCD of 864, 431, 350, 410 on a calculator?

You can find the GCD of 864, 431, 350, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.