GCD of 728, 116, 619, 414 Calculator

Given Input numbers are 728, 116, 619, 414

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 619

List of positive integer divisors of 619 that divides 619 without a remainder.

1, 619

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 728, 116, 619, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 116, 619, 414 is 1.

Therefore, GCD of numbers 728, 116, 619, 414 is 1

Given Input Data is 728, 116, 619, 414

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 619 is 619

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(728, 116) = 21112

GCD(728, 116) = ( 728 x 116 ) / 21112

GCD(728, 116) = 84448 / 21112

GCD(728, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 619

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

LCM(4, 619) = 2476

GCD(4, 619) = ( 4 x 619 ) / 2476

GCD(4, 619) = 2476 / 2476

GCD(4, 619) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 414

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

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

GCD(1, 414) = 414 / 414

GCD(1, 414) = 1

GCD of 728, 116, 619, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 268, 224, 684
• GCD of 607, 372, 491, 356
• GCD of 679, 907, 227, 687
• GCD of 977, 211, 462, 608
• GCD of 975, 384, 183, 939

1. What is the GCD of 728, 116, 619, 414?

GCD of 728, 116, 619, 414 is 1

2. Where do I get the detailed procedure to find GCD of 728, 116, 619, 414?

You can find a detailed procedure to find GCD of 728, 116, 619, 414 on our page.

3. How to find GCD of 728, 116, 619, 414 on a calculator?

You can find the GCD of 728, 116, 619, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.