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 164, 230, 91, 152 i.e. 1 largest integer that divides all the numbers equally.
GCD of 164, 230, 91, 152 is 1
GCD(164, 230, 91, 152) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 230, 91, 152 is 1
GCD(164, 230, 91, 152) = 1
Given Input numbers are 164, 230, 91, 152
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Greatest Common Divisior
We found the divisors of 164, 230, 91, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 230, 91, 152 is 1.
Therefore, GCD of numbers 164, 230, 91, 152 is 1
Given Input Data is 164, 230, 91, 152
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 230 is 2 x 5 x 23
Prime Factorization of 91 is 7 x 13
Prime Factorization of 152 is 2 x 2 x 2 x 19
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(164, 230) = 18860
GCD(164, 230) = ( 164 x 230 ) / 18860
GCD(164, 230) = 37720 / 18860
GCD(164, 230) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 91) = 182
GCD(2, 91) = ( 2 x 91 ) / 182
GCD(2, 91) = 182 / 182
GCD(2, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
GCD of 164, 230, 91, 152 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 164, 230, 91, 152?
GCD of 164, 230, 91, 152 is 1
2. Where do I get the detailed procedure to find GCD of 164, 230, 91, 152?
You can find a detailed procedure to find GCD of 164, 230, 91, 152 on our page.
3. How to find GCD of 164, 230, 91, 152 on a calculator?
You can find the GCD of 164, 230, 91, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.