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 45, 577, 572, 372 i.e. 1 largest integer that divides all the numbers equally.
GCD of 45, 577, 572, 372 is 1
GCD(45, 577, 572, 372) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 45, 577, 572, 372 is 1
GCD(45, 577, 572, 372) = 1
Given Input numbers are 45, 577, 572, 372
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
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
Greatest Common Divisior
We found the divisors of 45, 577, 572, 372 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 577, 572, 372 is 1.
Therefore, GCD of numbers 45, 577, 572, 372 is 1
Given Input Data is 45, 577, 572, 372
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 577 is 577
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 372 is 2 x 2 x 3 x 31
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(45, 577) = 25965
GCD(45, 577) = ( 45 x 577 ) / 25965
GCD(45, 577) = 25965 / 25965
GCD(45, 577) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 572
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 572) = 572
GCD(1, 572) = ( 1 x 572 ) / 572
GCD(1, 572) = 572 / 572
GCD(1, 572) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 372) = 372
GCD(1, 372) = ( 1 x 372 ) / 372
GCD(1, 372) = 372 / 372
GCD(1, 372) = 1
GCD of 45, 577, 572, 372 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 45, 577, 572, 372?
GCD of 45, 577, 572, 372 is 1
2. Where do I get the detailed procedure to find GCD of 45, 577, 572, 372?
You can find a detailed procedure to find GCD of 45, 577, 572, 372 on our page.
3. How to find GCD of 45, 577, 572, 372 on a calculator?
You can find the GCD of 45, 577, 572, 372 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.