GCD of 345, 824, 664, 831 Calculator

Given Input numbers are 345, 824, 664, 831

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

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 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 345, 824, 664, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 824, 664, 831 is 1.

Therefore, GCD of numbers 345, 824, 664, 831 is 1

Given Input Data is 345, 824, 664, 831

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 824 is 2 x 2 x 2 x 103

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

Prime Factorization of 831 is 3 x 277

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(345, 824) = 284280

GCD(345, 824) = ( 345 x 824 ) / 284280

GCD(345, 824) = 284280 / 284280

GCD(345, 824) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 345, 824, 664, 831 is 1

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1. What is the GCD of 345, 824, 664, 831?

GCD of 345, 824, 664, 831 is 1

2. Where do I get the detailed procedure to find GCD of 345, 824, 664, 831?

You can find a detailed procedure to find GCD of 345, 824, 664, 831 on our page.

3. How to find GCD of 345, 824, 664, 831 on a calculator?

You can find the GCD of 345, 824, 664, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.