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, 906, 728, 759 i.e. 1 largest integer that divides all the numbers equally.
GCD of 90, 906, 728, 759 is 1
GCD(90, 906, 728, 759) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 90, 906, 728, 759 is 1
GCD(90, 906, 728, 759) = 1
Given Input numbers are 90, 906, 728, 759
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 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 728
List of positive integer divisors of 728 that divides 728 without a remainder.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Greatest Common Divisior
We found the divisors of 90, 906, 728, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 906, 728, 759 is 1.
Therefore, GCD of numbers 90, 906, 728, 759 is 1
Given Input Data is 90, 906, 728, 759
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 906 is 2 x 3 x 151
Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13
Prime Factorization of 759 is 3 x 11 x 23
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, 906) = 13590
GCD(90, 906) = ( 90 x 906 ) / 13590
GCD(90, 906) = 81540 / 13590
GCD(90, 906) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 728
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 728) = 2184
GCD(6, 728) = ( 6 x 728 ) / 2184
GCD(6, 728) = 4368 / 2184
GCD(6, 728) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 759
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 759) = 1518
GCD(2, 759) = ( 2 x 759 ) / 1518
GCD(2, 759) = 1518 / 1518
GCD(2, 759) = 1
GCD of 90, 906, 728, 759 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 90, 906, 728, 759?
GCD of 90, 906, 728, 759 is 1
2. Where do I get the detailed procedure to find GCD of 90, 906, 728, 759?
You can find a detailed procedure to find GCD of 90, 906, 728, 759 on our page.
3. How to find GCD of 90, 906, 728, 759 on a calculator?
You can find the GCD of 90, 906, 728, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.