GCD of 542, 380, 41, 358 Calculator

Given Input numbers are 542, 380, 41, 358

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

Divisors of 542

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

1, 2, 271, 542

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Greatest Common Divisior

We found the divisors of 542, 380, 41, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 380, 41, 358 is 1.

Therefore, GCD of numbers 542, 380, 41, 358 is 1

Given Input Data is 542, 380, 41, 358

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 41 is 41

Prime Factorization of 358 is 2 x 179

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(542, 380) = 102980

GCD(542, 380) = ( 542 x 380 ) / 102980

GCD(542, 380) = 205960 / 102980

GCD(542, 380) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 41

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

LCM(2, 41) = 82

GCD(2, 41) = ( 2 x 41 ) / 82

GCD(2, 41) = 82 / 82

GCD(2, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 358

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

LCM(1, 358) = 358

GCD(1, 358) = ( 1 x 358 ) / 358

GCD(1, 358) = 358 / 358

GCD(1, 358) = 1

GCD of 542, 380, 41, 358 is 1

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1. What is the GCD of 542, 380, 41, 358?

GCD of 542, 380, 41, 358 is 1

2. Where do I get the detailed procedure to find GCD of 542, 380, 41, 358?

You can find a detailed procedure to find GCD of 542, 380, 41, 358 on our page.

3. How to find GCD of 542, 380, 41, 358 on a calculator?

You can find the GCD of 542, 380, 41, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.