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, 552, 88, 213 i.e. 1 largest integer that divides all the numbers equally.
GCD of 558, 552, 88, 213 is 1
GCD(558, 552, 88, 213) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 558, 552, 88, 213 is 1
GCD(558, 552, 88, 213) = 1
Given Input numbers are 558, 552, 88, 213
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 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 213
List of positive integer divisors of 213 that divides 213 without a remainder.
1, 3, 71, 213
Greatest Common Divisior
We found the divisors of 558, 552, 88, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 552, 88, 213 is 1.
Therefore, GCD of numbers 558, 552, 88, 213 is 1
Given Input Data is 558, 552, 88, 213
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 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 213 is 3 x 71
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(558, 552) = 51336
GCD(558, 552) = ( 558 x 552 ) / 51336
GCD(558, 552) = 308016 / 51336
GCD(558, 552) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 88) = 264
GCD(6, 88) = ( 6 x 88 ) / 264
GCD(6, 88) = 528 / 264
GCD(6, 88) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 213
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 213) = 426
GCD(2, 213) = ( 2 x 213 ) / 426
GCD(2, 213) = 426 / 426
GCD(2, 213) = 1
GCD of 558, 552, 88, 213 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 558, 552, 88, 213?
GCD of 558, 552, 88, 213 is 1
2. Where do I get the detailed procedure to find GCD of 558, 552, 88, 213?
You can find a detailed procedure to find GCD of 558, 552, 88, 213 on our page.
3. How to find GCD of 558, 552, 88, 213 on a calculator?
You can find the GCD of 558, 552, 88, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.