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 578, 920, 81, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 578, 920, 81, 132 is 1
GCD(578, 920, 81, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 578, 920, 81, 132 is 1
GCD(578, 920, 81, 132) = 1
Given Input numbers are 578, 920, 81, 132
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
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 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Greatest Common Divisior
We found the divisors of 578, 920, 81, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 920, 81, 132 is 1.
Therefore, GCD of numbers 578, 920, 81, 132 is 1
Given Input Data is 578, 920, 81, 132
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 578 is 2 x 17 x 17
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 132 is 2 x 2 x 3 x 11
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(578, 920) = 265880
GCD(578, 920) = ( 578 x 920 ) / 265880
GCD(578, 920) = 531760 / 265880
GCD(578, 920) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 81) = 162
GCD(2, 81) = ( 2 x 81 ) / 162
GCD(2, 81) = 162 / 162
GCD(2, 81) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
GCD of 578, 920, 81, 132 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 578, 920, 81, 132?
GCD of 578, 920, 81, 132 is 1
2. Where do I get the detailed procedure to find GCD of 578, 920, 81, 132?
You can find a detailed procedure to find GCD of 578, 920, 81, 132 on our page.
3. How to find GCD of 578, 920, 81, 132 on a calculator?
You can find the GCD of 578, 920, 81, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.