GCD of 542, 662, 52, 899 Calculator

Given Input numbers are 542, 662, 52, 899

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 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Greatest Common Divisior

We found the divisors of 542, 662, 52, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 662, 52, 899 is 1.

Therefore, GCD of numbers 542, 662, 52, 899 is 1

Given Input Data is 542, 662, 52, 899

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

Prime Factorization of 542 is 2 x 271

Prime Factorization of 662 is 2 x 331

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 899 is 29 x 31

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, 662) = 179402

GCD(542, 662) = ( 542 x 662 ) / 179402

GCD(542, 662) = 358804 / 179402

GCD(542, 662) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

GCD of 542, 662, 52, 899 is 1

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1. What is the GCD of 542, 662, 52, 899?

GCD of 542, 662, 52, 899 is 1

2. Where do I get the detailed procedure to find GCD of 542, 662, 52, 899?

You can find a detailed procedure to find GCD of 542, 662, 52, 899 on our page.

3. How to find GCD of 542, 662, 52, 899 on a calculator?

You can find the GCD of 542, 662, 52, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.