GCD of 726, 532, 443, 215 Calculator

Given Input numbers are 726, 532, 443, 215

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 726, 532, 443, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 532, 443, 215 is 1.

Therefore, GCD of numbers 726, 532, 443, 215 is 1

Given Input Data is 726, 532, 443, 215

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 443 is 443

Prime Factorization of 215 is 5 x 43

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(726, 532) = 193116

GCD(726, 532) = ( 726 x 532 ) / 193116

GCD(726, 532) = 386232 / 193116

GCD(726, 532) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 443

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

LCM(2, 443) = 886

GCD(2, 443) = ( 2 x 443 ) / 886

GCD(2, 443) = 886 / 886

GCD(2, 443) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 215

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

LCM(1, 215) = 215

GCD(1, 215) = ( 1 x 215 ) / 215

GCD(1, 215) = 215 / 215

GCD(1, 215) = 1

GCD of 726, 532, 443, 215 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 774, 740, 504
• GCD of 157, 242, 394, 165
• GCD of 262, 729, 620, 789
• GCD of 960, 269, 699, 557
• GCD of 286, 434, 324, 691

1. What is the GCD of 726, 532, 443, 215?

GCD of 726, 532, 443, 215 is 1

2. Where do I get the detailed procedure to find GCD of 726, 532, 443, 215?

You can find a detailed procedure to find GCD of 726, 532, 443, 215 on our page.

3. How to find GCD of 726, 532, 443, 215 on a calculator?

You can find the GCD of 726, 532, 443, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.