GCD of 542, 352, 541, 772 Calculator

Given Input numbers are 542, 352, 541, 772

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 541

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

1, 541

Divisors of 772

List of positive integer divisors of 772 that divides 772 without a remainder.

1, 2, 4, 193, 386, 772

Greatest Common Divisior

We found the divisors of 542, 352, 541, 772 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 352, 541, 772 is 1.

Therefore, GCD of numbers 542, 352, 541, 772 is 1

Given Input Data is 542, 352, 541, 772

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 541 is 541

Prime Factorization of 772 is 2 x 2 x 193

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, 352) = 95392

GCD(542, 352) = ( 542 x 352 ) / 95392

GCD(542, 352) = 190784 / 95392

GCD(542, 352) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 541

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

LCM(2, 541) = 1082

GCD(2, 541) = ( 2 x 541 ) / 1082

GCD(2, 541) = 1082 / 1082

GCD(2, 541) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 772

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

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

GCD(1, 772) = 772 / 772

GCD(1, 772) = 1

GCD of 542, 352, 541, 772 is 1

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1. What is the GCD of 542, 352, 541, 772?

GCD of 542, 352, 541, 772 is 1

2. Where do I get the detailed procedure to find GCD of 542, 352, 541, 772?

You can find a detailed procedure to find GCD of 542, 352, 541, 772 on our page.

3. How to find GCD of 542, 352, 541, 772 on a calculator?

You can find the GCD of 542, 352, 541, 772 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.