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 89, 811, 468, 138 i.e. 1 largest integer that divides all the numbers equally.
GCD of 89, 811, 468, 138 is 1
GCD(89, 811, 468, 138) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 89, 811, 468, 138 is 1
GCD(89, 811, 468, 138) = 1
Given Input numbers are 89, 811, 468, 138
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 811
List of positive integer divisors of 811 that divides 811 without a remainder.
1, 811
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Greatest Common Divisior
We found the divisors of 89, 811, 468, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 811, 468, 138 is 1.
Therefore, GCD of numbers 89, 811, 468, 138 is 1
Given Input Data is 89, 811, 468, 138
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 89 is 89
Prime Factorization of 811 is 811
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 138 is 2 x 3 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(89, 811) = 72179
GCD(89, 811) = ( 89 x 811 ) / 72179
GCD(89, 811) = 72179 / 72179
GCD(89, 811) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 138
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
GCD(1, 138) = 138 / 138
GCD(1, 138) = 1
GCD of 89, 811, 468, 138 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 89, 811, 468, 138?
GCD of 89, 811, 468, 138 is 1
2. Where do I get the detailed procedure to find GCD of 89, 811, 468, 138?
You can find a detailed procedure to find GCD of 89, 811, 468, 138 on our page.
3. How to find GCD of 89, 811, 468, 138 on a calculator?
You can find the GCD of 89, 811, 468, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.