GCD of 254, 209, 542, 340 Calculator

Given Input numbers are 254, 209, 542, 340

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

Divisors of 254

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

1, 2, 127, 254

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 542

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

1, 2, 271, 542

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 254, 209, 542, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 209, 542, 340 is 1.

Therefore, GCD of numbers 254, 209, 542, 340 is 1

Given Input Data is 254, 209, 542, 340

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 209 is 11 x 19

Prime Factorization of 542 is 2 x 271

Prime Factorization of 340 is 2 x 2 x 5 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(254, 209) = 53086

GCD(254, 209) = ( 254 x 209 ) / 53086

GCD(254, 209) = 53086 / 53086

GCD(254, 209) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 254, 209, 542, 340 is 1

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1. What is the GCD of 254, 209, 542, 340?

GCD of 254, 209, 542, 340 is 1

2. Where do I get the detailed procedure to find GCD of 254, 209, 542, 340?

You can find a detailed procedure to find GCD of 254, 209, 542, 340 on our page.

3. How to find GCD of 254, 209, 542, 340 on a calculator?

You can find the GCD of 254, 209, 542, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.