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, 859, 128, 241 i.e. 1 largest integer that divides all the numbers equally.
GCD of 90, 859, 128, 241 is 1
GCD(90, 859, 128, 241) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 90, 859, 128, 241 is 1
GCD(90, 859, 128, 241) = 1
Given Input numbers are 90, 859, 128, 241
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 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 241
List of positive integer divisors of 241 that divides 241 without a remainder.
1, 241
Greatest Common Divisior
We found the divisors of 90, 859, 128, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 90, 859, 128, 241 is 1.
Therefore, GCD of numbers 90, 859, 128, 241 is 1
Given Input Data is 90, 859, 128, 241
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 859 is 859
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 241 is 241
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, 859) = 77310
GCD(90, 859) = ( 90 x 859 ) / 77310
GCD(90, 859) = 77310 / 77310
GCD(90, 859) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 128) = 128
GCD(1, 128) = ( 1 x 128 ) / 128
GCD(1, 128) = 128 / 128
GCD(1, 128) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 241
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 241) = 241
GCD(1, 241) = ( 1 x 241 ) / 241
GCD(1, 241) = 241 / 241
GCD(1, 241) = 1
GCD of 90, 859, 128, 241 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 90, 859, 128, 241?
GCD of 90, 859, 128, 241 is 1
2. Where do I get the detailed procedure to find GCD of 90, 859, 128, 241?
You can find a detailed procedure to find GCD of 90, 859, 128, 241 on our page.
3. How to find GCD of 90, 859, 128, 241 on a calculator?
You can find the GCD of 90, 859, 128, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.