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 572, 504, 75, 464 i.e. 1 largest integer that divides all the numbers equally.
GCD of 572, 504, 75, 464 is 1
GCD(572, 504, 75, 464) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 572, 504, 75, 464 is 1
GCD(572, 504, 75, 464) = 1
Given Input numbers are 572, 504, 75, 464
To find the GCD of numbers using factoring list out all the divisors of each number
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 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 464
List of positive integer divisors of 464 that divides 464 without a remainder.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Greatest Common Divisior
We found the divisors of 572, 504, 75, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 572, 504, 75, 464 is 1.
Therefore, GCD of numbers 572, 504, 75, 464 is 1
Given Input Data is 572, 504, 75, 464
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29
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(572, 504) = 72072
GCD(572, 504) = ( 572 x 504 ) / 72072
GCD(572, 504) = 288288 / 72072
GCD(572, 504) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 75) = 300
GCD(4, 75) = ( 4 x 75 ) / 300
GCD(4, 75) = 300 / 300
GCD(4, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 464
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 464) = 464
GCD(1, 464) = ( 1 x 464 ) / 464
GCD(1, 464) = 464 / 464
GCD(1, 464) = 1
GCD of 572, 504, 75, 464 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 572, 504, 75, 464?
GCD of 572, 504, 75, 464 is 1
2. Where do I get the detailed procedure to find GCD of 572, 504, 75, 464?
You can find a detailed procedure to find GCD of 572, 504, 75, 464 on our page.
3. How to find GCD of 572, 504, 75, 464 on a calculator?
You can find the GCD of 572, 504, 75, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.