GCD of 21, 329, 943, 720 Calculator

Given Input numbers are 21, 329, 943, 720

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 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 21, 329, 943, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 329, 943, 720 is 1.

Therefore, GCD of numbers 21, 329, 943, 720 is 1

Given Input Data is 21, 329, 943, 720

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 329 is 7 x 47

Prime Factorization of 943 is 23 x 41

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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, 329) = 987

GCD(21, 329) = ( 21 x 329 ) / 987

GCD(21, 329) = 6909 / 987

GCD(21, 329) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 943

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

LCM(7, 943) = 6601

GCD(7, 943) = ( 7 x 943 ) / 6601

GCD(7, 943) = 6601 / 6601

GCD(7, 943) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 21, 329, 943, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 182, 519, 932
• GCD of 47, 922, 116, 574
• GCD of 88, 720, 270, 308
• GCD of 69, 471, 252, 816
• GCD of 85, 944, 657, 290

1. What is the GCD of 21, 329, 943, 720?

GCD of 21, 329, 943, 720 is 1

2. Where do I get the detailed procedure to find GCD of 21, 329, 943, 720?

You can find a detailed procedure to find GCD of 21, 329, 943, 720 on our page.

3. How to find GCD of 21, 329, 943, 720 on a calculator?

You can find the GCD of 21, 329, 943, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.