GCD of 134, 170, 45 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 134, 170, 45 quickly. Get the easiest ways to solve the greatest common divisor of 134, 170, 45 i.e 1 in different methods as follows.
Given Input numbers are 134, 170, 45
In the factoring method, we have to find the divisors of all numbers
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 45 :
The positive integer divisors of 45 that completely divides 45 are.
1, 3, 5, 9, 15, 45
GCD of numbers is the greatest common divisor
So, the GCD (134, 170, 45) = 1.
Given numbers are 134, 170, 45
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 170 are 2 x 5 x 17
Prime factors of 45 are 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 134, 170, 45 using LCM Formula
Given numbers are 134, 170, 45
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 170) = 11390
GCD(134, 170) = ( 134 x 170 ) / 11390
= 134 / 170
= 134
Step2:
LCM(2, 45) = 90
GCD(2, 45) = ( 2 x 45 ) / 90
= 2 / 45
= 2
So, Greatest Common Divisor of 134, 170, 45 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 134, 170, 45
Given numbers are 134, 170, 45
The greatest common divisor of numbers 134, 170, 45 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 170, 45 is 1.
FAQs on GCD of 134, 170, 45 Calculator
1. What is the GCD of 134, 170, 45?
GCD of given numbers 134, 170, 45 is 1
2. How to calculate the greatest common divisor of 134, 170, 45?
We can find the highest common divisor of 134, 170, 45 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 134, 170, 45 i.e 1.
3. How can I use the GCD of 134, 170, 45Calculator?
Out the numbers 134, 170, 45 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.