GCD of 558, 464, 52, 546 Calculator

Given Input numbers are 558, 464, 52, 546

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

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 52

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

1, 2, 4, 13, 26, 52

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

Greatest Common Divisior

We found the divisors of 558, 464, 52, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 464, 52, 546 is 2.

Therefore, GCD of numbers 558, 464, 52, 546 is 2

Given Input Data is 558, 464, 52, 546

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

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 52 is 2 x 2 x 13

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(558, 464) = 129456

GCD(558, 464) = ( 558 x 464 ) / 129456

GCD(558, 464) = 258912 / 129456

GCD(558, 464) = 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 546

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

LCM(2, 546) = 546

GCD(2, 546) = ( 2 x 546 ) / 546

GCD(2, 546) = 1092 / 546

GCD(2, 546) = 2

GCD of 558, 464, 52, 546 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 692, 42, 939
• GCD of 708, 714, 23, 272
• GCD of 942, 483, 85, 397
• GCD of 119, 532, 64, 870
• GCD of 127, 922, 43, 128

1. What is the GCD of 558, 464, 52, 546?

GCD of 558, 464, 52, 546 is 2

2. Where do I get the detailed procedure to find GCD of 558, 464, 52, 546?

You can find a detailed procedure to find GCD of 558, 464, 52, 546 on our page.

3. How to find GCD of 558, 464, 52, 546 on a calculator?

You can find the GCD of 558, 464, 52, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.