GCD of 614, 945, 47, 720 Calculator

Given Input numbers are 614, 945, 47, 720

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

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 614, 945, 47, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 945, 47, 720 is 1.

Therefore, GCD of numbers 614, 945, 47, 720 is 1

Given Input Data is 614, 945, 47, 720

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 47 is 47

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(614, 945) = 580230

GCD(614, 945) = ( 614 x 945 ) / 580230

GCD(614, 945) = 580230 / 580230

GCD(614, 945) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 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 614, 945, 47, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 158, 33, 474
• GCD of 322, 113, 90, 444
• GCD of 705, 180, 64, 231
• GCD of 211, 687, 49, 987
• GCD of 321, 913, 19, 648

1. What is the GCD of 614, 945, 47, 720?

GCD of 614, 945, 47, 720 is 1

2. Where do I get the detailed procedure to find GCD of 614, 945, 47, 720?

You can find a detailed procedure to find GCD of 614, 945, 47, 720 on our page.

3. How to find GCD of 614, 945, 47, 720 on a calculator?

You can find the GCD of 614, 945, 47, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.