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 468, 744, 157, 575 i.e. 1 largest integer that divides all the numbers equally.
GCD of 468, 744, 157, 575 is 1
GCD(468, 744, 157, 575) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 468, 744, 157, 575 is 1
GCD(468, 744, 157, 575) = 1
Given Input numbers are 468, 744, 157, 575
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 744
List of positive integer divisors of 744 that divides 744 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Greatest Common Divisior
We found the divisors of 468, 744, 157, 575 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 744, 157, 575 is 1.
Therefore, GCD of numbers 468, 744, 157, 575 is 1
Given Input Data is 468, 744, 157, 575
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31
Prime Factorization of 157 is 157
Prime Factorization of 575 is 5 x 5 x 23
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(468, 744) = 29016
GCD(468, 744) = ( 468 x 744 ) / 29016
GCD(468, 744) = 348192 / 29016
GCD(468, 744) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 157) = 1884
GCD(12, 157) = ( 12 x 157 ) / 1884
GCD(12, 157) = 1884 / 1884
GCD(12, 157) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 575
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 575) = 575
GCD(1, 575) = ( 1 x 575 ) / 575
GCD(1, 575) = 575 / 575
GCD(1, 575) = 1
GCD of 468, 744, 157, 575 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 468, 744, 157, 575?
GCD of 468, 744, 157, 575 is 1
2. Where do I get the detailed procedure to find GCD of 468, 744, 157, 575?
You can find a detailed procedure to find GCD of 468, 744, 157, 575 on our page.
3. How to find GCD of 468, 744, 157, 575 on a calculator?
You can find the GCD of 468, 744, 157, 575 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.