GCD of 21, 944, 721, 674 Calculator

Given Input numbers are 21, 944, 721, 674

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

Divisors of 21

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

1, 3, 7, 21

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

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 21, 944, 721, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 944, 721, 674 is 1.

Therefore, GCD of numbers 21, 944, 721, 674 is 1

Given Input Data is 21, 944, 721, 674

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

Prime Factorization of 721 is 7 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(21, 944) = 19824

GCD(21, 944) = ( 21 x 944 ) / 19824

GCD(21, 944) = 19824 / 19824

GCD(21, 944) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 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 21, 944, 721, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 931, 691, 114
• GCD of 40, 327, 960, 332
• GCD of 15, 440, 923, 980
• GCD of 35, 809, 471, 584
• GCD of 31, 639, 472, 831

1. What is the GCD of 21, 944, 721, 674?

GCD of 21, 944, 721, 674 is 1

2. Where do I get the detailed procedure to find GCD of 21, 944, 721, 674?

You can find a detailed procedure to find GCD of 21, 944, 721, 674 on our page.

3. How to find GCD of 21, 944, 721, 674 on a calculator?

You can find the GCD of 21, 944, 721, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.