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 432, 420, 568, 554 i.e. 2 largest integer that divides all the numbers equally.
GCD of 432, 420, 568, 554 is 2
GCD(432, 420, 568, 554) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 432, 420, 568, 554 is 2
GCD(432, 420, 568, 554) = 2
Given Input numbers are 432, 420, 568, 554
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 420
List of positive integer divisors of 420 that divides 420 without a remainder.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Greatest Common Divisior
We found the divisors of 432, 420, 568, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 420, 568, 554 is 2.
Therefore, GCD of numbers 432, 420, 568, 554 is 2
Given Input Data is 432, 420, 568, 554
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 554 is 2 x 277
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(432, 420) = 15120
GCD(432, 420) = ( 432 x 420 ) / 15120
GCD(432, 420) = 181440 / 15120
GCD(432, 420) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 568
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 568) = 1704
GCD(12, 568) = ( 12 x 568 ) / 1704
GCD(12, 568) = 6816 / 1704
GCD(12, 568) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 554
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 554) = 1108
GCD(4, 554) = ( 4 x 554 ) / 1108
GCD(4, 554) = 2216 / 1108
GCD(4, 554) = 2
GCD of 432, 420, 568, 554 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 432, 420, 568, 554?
GCD of 432, 420, 568, 554 is 2
2. Where do I get the detailed procedure to find GCD of 432, 420, 568, 554?
You can find a detailed procedure to find GCD of 432, 420, 568, 554 on our page.
3. How to find GCD of 432, 420, 568, 554 on a calculator?
You can find the GCD of 432, 420, 568, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.