GCD of 683, 475, 824, 674 Calculator

Given Input numbers are 683, 475, 824, 674

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

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

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 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 683, 475, 824, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 683, 475, 824, 674 is 1.

Therefore, GCD of numbers 683, 475, 824, 674 is 1

Given Input Data is 683, 475, 824, 674

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

Prime Factorization of 683 is 683

Prime Factorization of 475 is 5 x 5 x 19

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

Prime Factorization of 674 is 2 x 337

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(683, 475) = 324425

GCD(683, 475) = ( 683 x 475 ) / 324425

GCD(683, 475) = 324425 / 324425

GCD(683, 475) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 683, 475, 824, 674 is 1

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1. What is the GCD of 683, 475, 824, 674?

GCD of 683, 475, 824, 674 is 1

2. Where do I get the detailed procedure to find GCD of 683, 475, 824, 674?

You can find a detailed procedure to find GCD of 683, 475, 824, 674 on our page.

3. How to find GCD of 683, 475, 824, 674 on a calculator?

You can find the GCD of 683, 475, 824, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.