GCD of 680, 782, 547, 542 Calculator

Given Input numbers are 680, 782, 547, 542

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 680, 782, 547, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 782, 547, 542 is 1.

Therefore, GCD of numbers 680, 782, 547, 542 is 1

Given Input Data is 680, 782, 547, 542

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 547 is 547

Prime Factorization of 542 is 2 x 271

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(680, 782) = 15640

GCD(680, 782) = ( 680 x 782 ) / 15640

GCD(680, 782) = 531760 / 15640

GCD(680, 782) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 547

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

LCM(34, 547) = 18598

GCD(34, 547) = ( 34 x 547 ) / 18598

GCD(34, 547) = 18598 / 18598

GCD(34, 547) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 680, 782, 547, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 776, 189, 540
• GCD of 766, 243, 861, 322
• GCD of 590, 356, 431, 440
• GCD of 300, 682, 878, 816
• GCD of 416, 729, 664, 546

1. What is the GCD of 680, 782, 547, 542?

GCD of 680, 782, 547, 542 is 1

2. Where do I get the detailed procedure to find GCD of 680, 782, 547, 542?

You can find a detailed procedure to find GCD of 680, 782, 547, 542 on our page.

3. How to find GCD of 680, 782, 547, 542 on a calculator?

You can find the GCD of 680, 782, 547, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.