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 160, 138, 23, 465 i.e. 1 largest integer that divides all the numbers equally.
GCD of 160, 138, 23, 465 is 1
GCD(160, 138, 23, 465) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 160, 138, 23, 465 is 1
GCD(160, 138, 23, 465) = 1
Given Input numbers are 160, 138, 23, 465
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 138
List of positive integer divisors of 138 that divides 138 without a remainder.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 23
List of positive integer divisors of 23 that divides 23 without a remainder.
1, 23
Divisors of 465
List of positive integer divisors of 465 that divides 465 without a remainder.
1, 3, 5, 15, 31, 93, 155, 465
Greatest Common Divisior
We found the divisors of 160, 138, 23, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 138, 23, 465 is 1.
Therefore, GCD of numbers 160, 138, 23, 465 is 1
Given Input Data is 160, 138, 23, 465
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 138 is 2 x 3 x 23
Prime Factorization of 23 is 23
Prime Factorization of 465 is 3 x 5 x 31
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(160, 138) = 11040
GCD(160, 138) = ( 160 x 138 ) / 11040
GCD(160, 138) = 22080 / 11040
GCD(160, 138) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 23
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 23) = 46
GCD(2, 23) = ( 2 x 23 ) / 46
GCD(2, 23) = 46 / 46
GCD(2, 23) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 465
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 465) = 465
GCD(1, 465) = ( 1 x 465 ) / 465
GCD(1, 465) = 465 / 465
GCD(1, 465) = 1
GCD of 160, 138, 23, 465 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 160, 138, 23, 465?
GCD of 160, 138, 23, 465 is 1
2. Where do I get the detailed procedure to find GCD of 160, 138, 23, 465?
You can find a detailed procedure to find GCD of 160, 138, 23, 465 on our page.
3. How to find GCD of 160, 138, 23, 465 on a calculator?
You can find the GCD of 160, 138, 23, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.