GCD of 727, 616, 61, 496 Calculator

Given Input numbers are 727, 616, 61, 496

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

Divisors of 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 727, 616, 61, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 727, 616, 61, 496 is 1.

Therefore, GCD of numbers 727, 616, 61, 496 is 1

Given Input Data is 727, 616, 61, 496

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

Prime Factorization of 727 is 727

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 61 is 61

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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(727, 616) = 447832

GCD(727, 616) = ( 727 x 616 ) / 447832

GCD(727, 616) = 447832 / 447832

GCD(727, 616) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 727, 616, 61, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 516, 68, 698
• GCD of 136, 238, 33, 249
• GCD of 871, 557, 97, 740
• GCD of 501, 933, 50, 495
• GCD of 111, 965, 84, 805

1. What is the GCD of 727, 616, 61, 496?

GCD of 727, 616, 61, 496 is 1

2. Where do I get the detailed procedure to find GCD of 727, 616, 61, 496?

You can find a detailed procedure to find GCD of 727, 616, 61, 496 on our page.

3. How to find GCD of 727, 616, 61, 496 on a calculator?

You can find the GCD of 727, 616, 61, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.