GCD of 726, 387, 452, 112 Calculator

Given Input numbers are 726, 387, 452, 112

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 726, 387, 452, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 387, 452, 112 is 1.

Therefore, GCD of numbers 726, 387, 452, 112 is 1

Given Input Data is 726, 387, 452, 112

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 387 is 3 x 3 x 43

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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, 387) = 93654

GCD(726, 387) = ( 726 x 387 ) / 93654

GCD(726, 387) = 280962 / 93654

GCD(726, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 452

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

LCM(3, 452) = 1356

GCD(3, 452) = ( 3 x 452 ) / 1356

GCD(3, 452) = 1356 / 1356

GCD(3, 452) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 726, 387, 452, 112 is 1

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1. What is the GCD of 726, 387, 452, 112?

GCD of 726, 387, 452, 112 is 1

2. Where do I get the detailed procedure to find GCD of 726, 387, 452, 112?

You can find a detailed procedure to find GCD of 726, 387, 452, 112 on our page.

3. How to find GCD of 726, 387, 452, 112 on a calculator?

You can find the GCD of 726, 387, 452, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.