GCD of 720, 580, 77, 714 Calculator

Given Input numbers are 720, 580, 77, 714

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 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 720, 580, 77, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 580, 77, 714 is 1.

Therefore, GCD of numbers 720, 580, 77, 714 is 1

Given Input Data is 720, 580, 77, 714

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 580 is 2 x 2 x 5 x 29

Prime Factorization of 77 is 7 x 11

Prime Factorization of 714 is 2 x 3 x 7 x 17

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, 580) = 20880

GCD(720, 580) = ( 720 x 580 ) / 20880

GCD(720, 580) = 417600 / 20880

GCD(720, 580) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 77

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

LCM(20, 77) = 1540

GCD(20, 77) = ( 20 x 77 ) / 1540

GCD(20, 77) = 1540 / 1540

GCD(20, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

GCD of 720, 580, 77, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 695, 47, 707
• GCD of 918, 113, 65, 567
• GCD of 750, 678, 92, 653
• GCD of 639, 365, 19, 792
• GCD of 238, 520, 78, 335

1. What is the GCD of 720, 580, 77, 714?

GCD of 720, 580, 77, 714 is 1

2. Where do I get the detailed procedure to find GCD of 720, 580, 77, 714?

You can find a detailed procedure to find GCD of 720, 580, 77, 714 on our page.

3. How to find GCD of 720, 580, 77, 714 on a calculator?

You can find the GCD of 720, 580, 77, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.