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 728, 920, 554, 182 i.e. 2 largest integer that divides all the numbers equally.
GCD of 728, 920, 554, 182 is 2
GCD(728, 920, 554, 182) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 728, 920, 554, 182 is 2
GCD(728, 920, 554, 182) = 2
Given Input numbers are 728, 920, 554, 182
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Greatest Common Divisior
We found the divisors of 728, 920, 554, 182 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 920, 554, 182 is 2.
Therefore, GCD of numbers 728, 920, 554, 182 is 2
Given Input Data is 728, 920, 554, 182
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 554 is 2 x 277
Prime Factorization of 182 is 2 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(728, 920) = 83720
GCD(728, 920) = ( 728 x 920 ) / 83720
GCD(728, 920) = 669760 / 83720
GCD(728, 920) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 554
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 554) = 2216
GCD(8, 554) = ( 8 x 554 ) / 2216
GCD(8, 554) = 4432 / 2216
GCD(8, 554) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 182
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 182) = 182
GCD(2, 182) = ( 2 x 182 ) / 182
GCD(2, 182) = 364 / 182
GCD(2, 182) = 2
GCD of 728, 920, 554, 182 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 728, 920, 554, 182?
GCD of 728, 920, 554, 182 is 2
2. Where do I get the detailed procedure to find GCD of 728, 920, 554, 182?
You can find a detailed procedure to find GCD of 728, 920, 554, 182 on our page.
3. How to find GCD of 728, 920, 554, 182 on a calculator?
You can find the GCD of 728, 920, 554, 182 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.