GCD of 541, 358, 706, 438 Calculator

Given Input numbers are 541, 358, 706, 438

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

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Divisors of 358

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

1, 2, 179, 358

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 541, 358, 706, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 541, 358, 706, 438 is 1.

Therefore, GCD of numbers 541, 358, 706, 438 is 1

Given Input Data is 541, 358, 706, 438

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

Prime Factorization of 541 is 541

Prime Factorization of 358 is 2 x 179

Prime Factorization of 706 is 2 x 353

Prime Factorization of 438 is 2 x 3 x 73

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(541, 358) = 193678

GCD(541, 358) = ( 541 x 358 ) / 193678

GCD(541, 358) = 193678 / 193678

GCD(541, 358) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 541, 358, 706, 438 is 1

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1. What is the GCD of 541, 358, 706, 438?

GCD of 541, 358, 706, 438 is 1

2. Where do I get the detailed procedure to find GCD of 541, 358, 706, 438?

You can find a detailed procedure to find GCD of 541, 358, 706, 438 on our page.

3. How to find GCD of 541, 358, 706, 438 on a calculator?

You can find the GCD of 541, 358, 706, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.