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 535, 735, 999, 605 i.e. 1 largest integer that divides all the numbers equally.
GCD of 535, 735, 999, 605 is 1
GCD(535, 735, 999, 605) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 535, 735, 999, 605 is 1
GCD(535, 735, 999, 605) = 1
Given Input numbers are 535, 735, 999, 605
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 999
List of positive integer divisors of 999 that divides 999 without a remainder.
1, 3, 9, 27, 37, 111, 333, 999
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Greatest Common Divisior
We found the divisors of 535, 735, 999, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 735, 999, 605 is 1.
Therefore, GCD of numbers 535, 735, 999, 605 is 1
Given Input Data is 535, 735, 999, 605
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 535 is 5 x 107
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 999 is 3 x 3 x 3 x 37
Prime Factorization of 605 is 5 x 11 x 11
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(535, 735) = 78645
GCD(535, 735) = ( 535 x 735 ) / 78645
GCD(535, 735) = 393225 / 78645
GCD(535, 735) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 999
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 999) = 4995
GCD(5, 999) = ( 5 x 999 ) / 4995
GCD(5, 999) = 4995 / 4995
GCD(5, 999) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 605) = 605
GCD(1, 605) = ( 1 x 605 ) / 605
GCD(1, 605) = 605 / 605
GCD(1, 605) = 1
GCD of 535, 735, 999, 605 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 535, 735, 999, 605?
GCD of 535, 735, 999, 605 is 1
2. Where do I get the detailed procedure to find GCD of 535, 735, 999, 605?
You can find a detailed procedure to find GCD of 535, 735, 999, 605 on our page.
3. How to find GCD of 535, 735, 999, 605 on a calculator?
You can find the GCD of 535, 735, 999, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.