GCD of 546, 111, 142, 238 Calculator

Given Input numbers are 546, 111, 142, 238

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

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 546, 111, 142, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 111, 142, 238 is 1.

Therefore, GCD of numbers 546, 111, 142, 238 is 1

Given Input Data is 546, 111, 142, 238

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

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 111 is 3 x 37

Prime Factorization of 142 is 2 x 71

Prime Factorization of 238 is 2 x 7 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(546, 111) = 20202

GCD(546, 111) = ( 546 x 111 ) / 20202

GCD(546, 111) = 60606 / 20202

GCD(546, 111) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 142

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

LCM(3, 142) = 426

GCD(3, 142) = ( 3 x 142 ) / 426

GCD(3, 142) = 426 / 426

GCD(3, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 546, 111, 142, 238 is 1

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1. What is the GCD of 546, 111, 142, 238?

GCD of 546, 111, 142, 238 is 1

2. Where do I get the detailed procedure to find GCD of 546, 111, 142, 238?

You can find a detailed procedure to find GCD of 546, 111, 142, 238 on our page.

3. How to find GCD of 546, 111, 142, 238 on a calculator?

You can find the GCD of 546, 111, 142, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.