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 372, 576, 55, 981 i.e. 1 largest integer that divides all the numbers equally.
GCD of 372, 576, 55, 981 is 1
GCD(372, 576, 55, 981) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 372, 576, 55, 981 is 1
GCD(372, 576, 55, 981) = 1
Given Input numbers are 372, 576, 55, 981
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Greatest Common Divisior
We found the divisors of 372, 576, 55, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 576, 55, 981 is 1.
Therefore, GCD of numbers 372, 576, 55, 981 is 1
Given Input Data is 372, 576, 55, 981
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 55 is 5 x 11
Prime Factorization of 981 is 3 x 3 x 109
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(372, 576) = 17856
GCD(372, 576) = ( 372 x 576 ) / 17856
GCD(372, 576) = 214272 / 17856
GCD(372, 576) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 55) = 660
GCD(12, 55) = ( 12 x 55 ) / 660
GCD(12, 55) = 660 / 660
GCD(12, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
GCD(1, 981) = 981 / 981
GCD(1, 981) = 1
GCD of 372, 576, 55, 981 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 372, 576, 55, 981?
GCD of 372, 576, 55, 981 is 1
2. Where do I get the detailed procedure to find GCD of 372, 576, 55, 981?
You can find a detailed procedure to find GCD of 372, 576, 55, 981 on our page.
3. How to find GCD of 372, 576, 55, 981 on a calculator?
You can find the GCD of 372, 576, 55, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.