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 475, 594, 882, 699 i.e. 1 largest integer that divides all the numbers equally.
GCD of 475, 594, 882, 699 is 1
GCD(475, 594, 882, 699) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 475, 594, 882, 699 is 1
GCD(475, 594, 882, 699) = 1
Given Input numbers are 475, 594, 882, 699
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 475
List of positive integer divisors of 475 that divides 475 without a remainder.
1, 5, 19, 25, 95, 475
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 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Greatest Common Divisior
We found the divisors of 475, 594, 882, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 594, 882, 699 is 1.
Therefore, GCD of numbers 475, 594, 882, 699 is 1
Given Input Data is 475, 594, 882, 699
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 475 is 5 x 5 x 19
Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 699 is 3 x 233
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(475, 594) = 282150
GCD(475, 594) = ( 475 x 594 ) / 282150
GCD(475, 594) = 282150 / 282150
GCD(475, 594) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 882
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 882) = 882
GCD(1, 882) = ( 1 x 882 ) / 882
GCD(1, 882) = 882 / 882
GCD(1, 882) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
GCD of 475, 594, 882, 699 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 475, 594, 882, 699?
GCD of 475, 594, 882, 699 is 1
2. Where do I get the detailed procedure to find GCD of 475, 594, 882, 699?
You can find a detailed procedure to find GCD of 475, 594, 882, 699 on our page.
3. How to find GCD of 475, 594, 882, 699 on a calculator?
You can find the GCD of 475, 594, 882, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.