GCD of 720, 597, 21, 338 Calculator

Given Input numbers are 720, 597, 21, 338

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

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

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 21

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

1, 3, 7, 21

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 720, 597, 21, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 597, 21, 338 is 1.

Therefore, GCD of numbers 720, 597, 21, 338 is 1

Given Input Data is 720, 597, 21, 338

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

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

Prime Factorization of 597 is 3 x 199

Prime Factorization of 21 is 3 x 7

Prime Factorization of 338 is 2 x 13 x 13

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(720, 597) = 143280

GCD(720, 597) = ( 720 x 597 ) / 143280

GCD(720, 597) = 429840 / 143280

GCD(720, 597) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 338

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

LCM(3, 338) = 1014

GCD(3, 338) = ( 3 x 338 ) / 1014

GCD(3, 338) = 1014 / 1014

GCD(3, 338) = 1

GCD of 720, 597, 21, 338 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 968, 856, 27, 811
• GCD of 711, 955, 70, 770
• GCD of 290, 103, 31, 125
• GCD of 141, 170, 84, 466
• GCD of 299, 426, 10, 137

1. What is the GCD of 720, 597, 21, 338?

GCD of 720, 597, 21, 338 is 1

2. Where do I get the detailed procedure to find GCD of 720, 597, 21, 338?

You can find a detailed procedure to find GCD of 720, 597, 21, 338 on our page.

3. How to find GCD of 720, 597, 21, 338 on a calculator?

You can find the GCD of 720, 597, 21, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.