GCD of 184, 142, 159 Calculator
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 184, 142, 159 i.e. 1 largest integer that divides all the numbers equally.
GCD of 184, 142, 159 is 1
GCD(184, 142, 159) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 184, 142, 159 is 1
GCD(184, 142, 159) = 1
GCDof 184,142,159 is 1
Given Input numbers are 184, 142, 159
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Greatest Common Divisior
We found the divisors of 184, 142, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 142, 159 is 1.
Therefore, GCD of numbers 184, 142, 159 is 1
Given Input Data is 184, 142, 159
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 142 is 2 x 71
Prime Factorization of 159 is 3 x 53
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 184, 142, 159 using LCM Formula
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(184, 142) = 13064
GCD(184, 142) = ( 184 x 142 ) / 13064
GCD(184, 142) = 26128 / 13064
GCD(184, 142) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 159) = 318
GCD(2, 159) = ( 2 x 159 ) / 318
GCD(2, 159) = 318 / 318
GCD(2, 159) = 1
GCD of 184, 142, 159 is 1
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FAQs on GCD of numbers 184, 142, 159
1. What is the GCD of 184, 142, 159?
GCD of 184, 142, 159 is 1
2. Where do I get the detailed procedure to find GCD of 184, 142, 159?
You can find a detailed procedure to find GCD of 184, 142, 159 on our page.
3. How to find GCD of 184, 142, 159 on a calculator?
You can find the GCD of 184, 142, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.