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 88, 594, 461, 738 i.e. 1 largest integer that divides all the numbers equally.
GCD of 88, 594, 461, 738 is 1
GCD(88, 594, 461, 738) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 594, 461, 738 is 1
GCD(88, 594, 461, 738) = 1
Given Input numbers are 88, 594, 461, 738
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 594
List of positive integer divisors of 594 that divides 594 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Greatest Common Divisior
We found the divisors of 88, 594, 461, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 594, 461, 738 is 1.
Therefore, GCD of numbers 88, 594, 461, 738 is 1
Given Input Data is 88, 594, 461, 738
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 461 is 461
Prime Factorization of 738 is 2 x 3 x 3 x 41
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(88, 594) = 2376
GCD(88, 594) = ( 88 x 594 ) / 2376
GCD(88, 594) = 52272 / 2376
GCD(88, 594) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 461
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 461) = 10142
GCD(22, 461) = ( 22 x 461 ) / 10142
GCD(22, 461) = 10142 / 10142
GCD(22, 461) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
GCD(1, 738) = 738 / 738
GCD(1, 738) = 1
GCD of 88, 594, 461, 738 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 594, 461, 738?
GCD of 88, 594, 461, 738 is 1
2. Where do I get the detailed procedure to find GCD of 88, 594, 461, 738?
You can find a detailed procedure to find GCD of 88, 594, 461, 738 on our page.
3. How to find GCD of 88, 594, 461, 738 on a calculator?
You can find the GCD of 88, 594, 461, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.