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 105, 421, 89, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 105, 421, 89, 135 is 1
GCD(105, 421, 89, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 105, 421, 89, 135 is 1
GCD(105, 421, 89, 135) = 1
Given Input numbers are 105, 421, 89, 135
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 105, 421, 89, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 421, 89, 135 is 1.
Therefore, GCD of numbers 105, 421, 89, 135 is 1
Given Input Data is 105, 421, 89, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 421 is 421
Prime Factorization of 89 is 89
Prime Factorization of 135 is 3 x 3 x 3 x 5
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(105, 421) = 44205
GCD(105, 421) = ( 105 x 421 ) / 44205
GCD(105, 421) = 44205 / 44205
GCD(105, 421) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 89) = 89
GCD(1, 89) = ( 1 x 89 ) / 89
GCD(1, 89) = 89 / 89
GCD(1, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
GCD of 105, 421, 89, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 105, 421, 89, 135?
GCD of 105, 421, 89, 135 is 1
2. Where do I get the detailed procedure to find GCD of 105, 421, 89, 135?
You can find a detailed procedure to find GCD of 105, 421, 89, 135 on our page.
3. How to find GCD of 105, 421, 89, 135 on a calculator?
You can find the GCD of 105, 421, 89, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.