GCD of 34, 262, 542, 289 Calculator

Given Input numbers are 34, 262, 542, 289

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

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 542

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

1, 2, 271, 542

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 34, 262, 542, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 262, 542, 289 is 1.

Therefore, GCD of numbers 34, 262, 542, 289 is 1

Given Input Data is 34, 262, 542, 289

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 262 is 2 x 131

Prime Factorization of 542 is 2 x 271

Prime Factorization of 289 is 17 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(34, 262) = 4454

GCD(34, 262) = ( 34 x 262 ) / 4454

GCD(34, 262) = 8908 / 4454

GCD(34, 262) = 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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 289

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

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

GCD(2, 289) = 578 / 578

GCD(2, 289) = 1

GCD of 34, 262, 542, 289 is 1

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• GCD of 24, 204, 107, 196
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1. What is the GCD of 34, 262, 542, 289?

GCD of 34, 262, 542, 289 is 1

2. Where do I get the detailed procedure to find GCD of 34, 262, 542, 289?

You can find a detailed procedure to find GCD of 34, 262, 542, 289 on our page.

3. How to find GCD of 34, 262, 542, 289 on a calculator?

You can find the GCD of 34, 262, 542, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.