GCD of 720, 979, 682, 300 Calculator

Given Input numbers are 720, 979, 682, 300

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 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Greatest Common Divisior

We found the divisors of 720, 979, 682, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 979, 682, 300 is 1.

Therefore, GCD of numbers 720, 979, 682, 300 is 1

Given Input Data is 720, 979, 682, 300

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 979 is 11 x 89

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 300 is 2 x 2 x 3 x 5 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(720, 979) = 704880

GCD(720, 979) = ( 720 x 979 ) / 704880

GCD(720, 979) = 704880 / 704880

GCD(720, 979) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

GCD of 720, 979, 682, 300 is 1

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1. What is the GCD of 720, 979, 682, 300?

GCD of 720, 979, 682, 300 is 1

2. Where do I get the detailed procedure to find GCD of 720, 979, 682, 300?

You can find a detailed procedure to find GCD of 720, 979, 682, 300 on our page.

3. How to find GCD of 720, 979, 682, 300 on a calculator?

You can find the GCD of 720, 979, 682, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.