GCD of 720, 260, 617, 931 Calculator

Given Input numbers are 720, 260, 617, 931

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

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 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Greatest Common Divisior

We found the divisors of 720, 260, 617, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 260, 617, 931 is 1.

Therefore, GCD of numbers 720, 260, 617, 931 is 1

Given Input Data is 720, 260, 617, 931

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

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 617 is 617

Prime Factorization of 931 is 7 x 7 x 19

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(720, 260) = 9360

GCD(720, 260) = ( 720 x 260 ) / 9360

GCD(720, 260) = 187200 / 9360

GCD(720, 260) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 617

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

LCM(20, 617) = 12340

GCD(20, 617) = ( 20 x 617 ) / 12340

GCD(20, 617) = 12340 / 12340

GCD(20, 617) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 931

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

LCM(1, 931) = 931

GCD(1, 931) = ( 1 x 931 ) / 931

GCD(1, 931) = 931 / 931

GCD(1, 931) = 1

GCD of 720, 260, 617, 931 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 561, 328, 703, 777
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• GCD of 774, 304, 763, 785

1. What is the GCD of 720, 260, 617, 931?

GCD of 720, 260, 617, 931 is 1

2. Where do I get the detailed procedure to find GCD of 720, 260, 617, 931?

You can find a detailed procedure to find GCD of 720, 260, 617, 931 on our page.

3. How to find GCD of 720, 260, 617, 931 on a calculator?

You can find the GCD of 720, 260, 617, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.