GCD of 674, 685, 21, 431 Calculator

Given Input numbers are 674, 685, 21, 431

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

Divisors of 674

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

1, 2, 337, 674

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 431

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

1, 431

Greatest Common Divisior

We found the divisors of 674, 685, 21, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 685, 21, 431 is 1.

Therefore, GCD of numbers 674, 685, 21, 431 is 1

Given Input Data is 674, 685, 21, 431

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 685 is 5 x 137

Prime Factorization of 21 is 3 x 7

Prime Factorization of 431 is 431

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(674, 685) = 461690

GCD(674, 685) = ( 674 x 685 ) / 461690

GCD(674, 685) = 461690 / 461690

GCD(674, 685) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 674, 685, 21, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 307, 444, 67, 105
• GCD of 288, 925, 46, 428
• GCD of 529, 730, 32, 892
• GCD of 806, 272, 60, 187
• GCD of 463, 177, 78, 766

1. What is the GCD of 674, 685, 21, 431?

GCD of 674, 685, 21, 431 is 1

2. Where do I get the detailed procedure to find GCD of 674, 685, 21, 431?

You can find a detailed procedure to find GCD of 674, 685, 21, 431 on our page.

3. How to find GCD of 674, 685, 21, 431 on a calculator?

You can find the GCD of 674, 685, 21, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.