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 763, 595, 90, 403 i.e. 1 largest integer that divides all the numbers equally.
GCD of 763, 595, 90, 403 is 1
GCD(763, 595, 90, 403) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 763, 595, 90, 403 is 1
GCD(763, 595, 90, 403) = 1
Given Input numbers are 763, 595, 90, 403
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
Greatest Common Divisior
We found the divisors of 763, 595, 90, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 763, 595, 90, 403 is 1.
Therefore, GCD of numbers 763, 595, 90, 403 is 1
Given Input Data is 763, 595, 90, 403
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 763 is 7 x 109
Prime Factorization of 595 is 5 x 7 x 17
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 403 is 13 x 31
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(763, 595) = 64855
GCD(763, 595) = ( 763 x 595 ) / 64855
GCD(763, 595) = 453985 / 64855
GCD(763, 595) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 90) = 630
GCD(7, 90) = ( 7 x 90 ) / 630
GCD(7, 90) = 630 / 630
GCD(7, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 403
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 403) = 403
GCD(1, 403) = ( 1 x 403 ) / 403
GCD(1, 403) = 403 / 403
GCD(1, 403) = 1
GCD of 763, 595, 90, 403 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 763, 595, 90, 403?
GCD of 763, 595, 90, 403 is 1
2. Where do I get the detailed procedure to find GCD of 763, 595, 90, 403?
You can find a detailed procedure to find GCD of 763, 595, 90, 403 on our page.
3. How to find GCD of 763, 595, 90, 403 on a calculator?
You can find the GCD of 763, 595, 90, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.