Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 558, 464, 52, 546 i.e. 2 largest integer that divides all the numbers equally.
GCD of 558, 464, 52, 546 is 2
GCD(558, 464, 52, 546) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 558, 464, 52, 546 is 2
GCD(558, 464, 52, 546) = 2
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.
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.