GCD of 680, 254, 542 Calculator

Given Input numbers are 680, 254, 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 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

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, 254, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 254, 542 is 2.

Therefore, GCD of numbers 680, 254, 542 is 2

Given Input Data is 680, 254, 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 254 is 2 x 127

Prime Factorization of 542 is 2 x 271

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 254) = 86360

GCD(680, 254) = ( 680 x 254 ) / 86360

GCD(680, 254) = 172720 / 86360

GCD(680, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 542

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

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

GCD(2, 542) = 1084 / 542

GCD(2, 542) = 2

GCD of 680, 254, 542 is 2

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1. What is the GCD of 680, 254, 542?

GCD of 680, 254, 542 is 2

2. Where do I get the detailed procedure to find GCD of 680, 254, 542?

You can find a detailed procedure to find GCD of 680, 254, 542 on our page.

3. How to find GCD of 680, 254, 542 on a calculator?

You can find the GCD of 680, 254, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.