GCD of 726, 947, 720, 147 Calculator

Given Input numbers are 726, 947, 720, 147

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 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

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 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 726, 947, 720, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 947, 720, 147 is 1.

Therefore, GCD of numbers 726, 947, 720, 147 is 1

Given Input Data is 726, 947, 720, 147

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 947 is 947

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

Prime Factorization of 147 is 3 x 7 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, 947) = 687522

GCD(726, 947) = ( 726 x 947 ) / 687522

GCD(726, 947) = 687522 / 687522

GCD(726, 947) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 726, 947, 720, 147 is 1

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1. What is the GCD of 726, 947, 720, 147?

GCD of 726, 947, 720, 147 is 1

2. Where do I get the detailed procedure to find GCD of 726, 947, 720, 147?

You can find a detailed procedure to find GCD of 726, 947, 720, 147 on our page.

3. How to find GCD of 726, 947, 720, 147 on a calculator?

You can find the GCD of 726, 947, 720, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.