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 90, 793, 286, 807 i.e. 1 largest integer that divides all the numbers equally.
GCD of 90, 793, 286, 807 is 1
GCD(90, 793, 286, 807) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 90, 793, 286, 807 is 1
GCD(90, 793, 286, 807) = 1
Given Input numbers are 90, 793, 286, 807
To find the GCD of numbers using factoring list out all the divisors of each number
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 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Greatest Common Divisior
We found the divisors of 90, 793, 286, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 793, 286, 807 is 1.
Therefore, GCD of numbers 90, 793, 286, 807 is 1
Given Input Data is 90, 793, 286, 807
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 793 is 13 x 61
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 807 is 3 x 269
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(90, 793) = 71370
GCD(90, 793) = ( 90 x 793 ) / 71370
GCD(90, 793) = 71370 / 71370
GCD(90, 793) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 286
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 286) = 286
GCD(1, 286) = ( 1 x 286 ) / 286
GCD(1, 286) = 286 / 286
GCD(1, 286) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 807
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 807) = 807
GCD(1, 807) = ( 1 x 807 ) / 807
GCD(1, 807) = 807 / 807
GCD(1, 807) = 1
GCD of 90, 793, 286, 807 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 90, 793, 286, 807?
GCD of 90, 793, 286, 807 is 1
2. Where do I get the detailed procedure to find GCD of 90, 793, 286, 807?
You can find a detailed procedure to find GCD of 90, 793, 286, 807 on our page.
3. How to find GCD of 90, 793, 286, 807 on a calculator?
You can find the GCD of 90, 793, 286, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.