GCD of 171, 735, 141 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 171, 735, 141 quickly. Get the easiest ways to solve the greatest common divisor of 171, 735, 141 i.e 3 in different methods as follows.
Given Input numbers are 171, 735, 141
In the factoring method, we have to find the divisors of all numbers
Divisors of 171 :
The positive integer divisors of 171 that completely divides 171 are.
1, 3, 9, 19, 57, 171
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
GCD of numbers is the greatest common divisor
So, the GCD (171, 735, 141) = 3.
Given numbers are 171, 735, 141
The list of prime factors of all numbers are
Prime factors of 171 are 3 x 3 x 19
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 141 are 3 x 47
The highest common occurrence is 31
Therefore, GCD of 171, 735, 141 is 3.
Steps to Calculate GCD of 171, 735, 141 using LCM Formula
Given numbers are 171, 735, 141
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(171, 735) = 41895
GCD(171, 735) = ( 171 x 735 ) / 41895
= 171 / 735
= 171
Step2:
LCM(3, 141) = 141
GCD(3, 141) = ( 3 x 141 ) / 141
= 3 / 141
= 3
So, Greatest Common Divisor of 171, 735, 141 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 171, 735, 141
Given numbers are 171, 735, 141
The greatest common divisor of numbers 171, 735, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 735, 141 is 3.
FAQs on GCD of 171, 735, 141 Calculator
1. What is the GCD of 171, 735, 141?
GCD of given numbers 171, 735, 141 is 3
2. How to calculate the greatest common divisor of 171, 735, 141?
We can find the highest common divisor of 171, 735, 141 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 171, 735, 141 i.e 3.
3. How can I use the GCD of 171, 735, 141Calculator?
Out the numbers 171, 735, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.