GCD of 189, 531, 755, 135 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 189, 531, 755, 135 quickly. Get the easiest ways to solve the greatest common divisor of 189, 531, 755, 135 i.e 1 in different methods as follows.
Given Input numbers are 189, 531, 755, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 531 :
The positive integer divisors of 531 that completely divides 531 are.
1, 3, 9, 59, 177, 531
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (189, 531, 755, 135) = 1.
Given numbers are 189, 531, 755, 135
The list of prime factors of all numbers are
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 531 are 3 x 3 x 59
Prime factors of 755 are 5 x 151
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 189, 531, 755, 135 using LCM Formula
Given numbers are 189, 531, 755, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(189, 531) = 11151
GCD(189, 531) = ( 189 x 531 ) / 11151
= 189 / 531
= 189
Step2:
LCM(9, 755) = 6795
GCD(9, 755) = ( 9 x 755 ) / 6795
= 9 / 755
= 9
Step3:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
So, Greatest Common Divisor of 189, 531, 755, 135 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 189, 531, 755, 135
Given numbers are 189, 531, 755, 135
The greatest common divisor of numbers 189, 531, 755, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 531, 755, 135 is 1.
FAQs on GCD of 189, 531, 755, 135 Calculator
1. What is the GCD of 189, 531, 755, 135?
GCD of given numbers 189, 531, 755, 135 is 1
2. How to calculate the greatest common divisor of 189, 531, 755, 135?
We can find the highest common divisor of 189, 531, 755, 135 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 189, 531, 755, 135 i.e 1.
3. How can I use the GCD of 189, 531, 755, 135Calculator?
Out the numbers 189, 531, 755, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.