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 144, 372, 688, 573 i.e. 1 largest integer that divides all the numbers equally.
GCD of 144, 372, 688, 573 is 1
GCD(144, 372, 688, 573) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 144, 372, 688, 573 is 1
GCD(144, 372, 688, 573) = 1
Given Input numbers are 144, 372, 688, 573
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
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 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Greatest Common Divisior
We found the divisors of 144, 372, 688, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 372, 688, 573 is 1.
Therefore, GCD of numbers 144, 372, 688, 573 is 1
Given Input Data is 144, 372, 688, 573
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 372 is 2 x 2 x 3 x 31
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 573 is 3 x 191
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(144, 372) = 4464
GCD(144, 372) = ( 144 x 372 ) / 4464
GCD(144, 372) = 53568 / 4464
GCD(144, 372) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 688
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 688) = 2064
GCD(12, 688) = ( 12 x 688 ) / 2064
GCD(12, 688) = 8256 / 2064
GCD(12, 688) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 573
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 573) = 2292
GCD(4, 573) = ( 4 x 573 ) / 2292
GCD(4, 573) = 2292 / 2292
GCD(4, 573) = 1
GCD of 144, 372, 688, 573 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 144, 372, 688, 573?
GCD of 144, 372, 688, 573 is 1
2. Where do I get the detailed procedure to find GCD of 144, 372, 688, 573?
You can find a detailed procedure to find GCD of 144, 372, 688, 573 on our page.
3. How to find GCD of 144, 372, 688, 573 on a calculator?
You can find the GCD of 144, 372, 688, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.