GCD of 301, 969, 542 Calculator

Given Input numbers are 301, 969, 542

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

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 301, 969, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 969, 542 is 1.

Therefore, GCD of numbers 301, 969, 542 is 1

Given Input Data is 301, 969, 542

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 969 is 3 x 17 x 19

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(301, 969) = 291669

GCD(301, 969) = ( 301 x 969 ) / 291669

GCD(301, 969) = 291669 / 291669

GCD(301, 969) = 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

GCD of 301, 969, 542 is 1

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1. What is the GCD of 301, 969, 542?

GCD of 301, 969, 542 is 1

2. Where do I get the detailed procedure to find GCD of 301, 969, 542?

You can find a detailed procedure to find GCD of 301, 969, 542 on our page.

3. How to find GCD of 301, 969, 542 on a calculator?

You can find the GCD of 301, 969, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.