GCD of 67, 45, 20, 17 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 67, 45, 20, 17 quickly. Get the easiest ways to solve the greatest common divisor of 67, 45, 20, 17 i.e 1 in different methods as follows.
Given Input numbers are 67, 45, 20, 17
In the factoring method, we have to find the divisors of all numbers
Divisors of 67 :
The positive integer divisors of 67 that completely divides 67 are.
1, 67
Divisors of 45 :
The positive integer divisors of 45 that completely divides 45 are.
1, 3, 5, 9, 15, 45
Divisors of 20 :
The positive integer divisors of 20 that completely divides 20 are.
1, 2, 4, 5, 10, 20
Divisors of 17 :
The positive integer divisors of 17 that completely divides 17 are.
1, 17
GCD of numbers is the greatest common divisor
So, the GCD (67, 45, 20, 17) = 1.
Given numbers are 67, 45, 20, 17
The list of prime factors of all numbers are
Prime factors of 67 are 67
Prime factors of 45 are 3 x 3 x 5
Prime factors of 20 are 2 x 2 x 5
Prime factors of 17 are 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 67, 45, 20, 17 using LCM Formula
Given numbers are 67, 45, 20, 17
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(67, 45) = 3015
GCD(67, 45) = ( 67 x 45 ) / 3015
= 67 / 45
= 67
Step2:
LCM(1, 20) = 20
GCD(1, 20) = ( 1 x 20 ) / 20
= 1 / 20
= 1
Step3:
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
= 1 / 17
= 1
So, Greatest Common Divisor of 67, 45, 20, 17 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 67, 45, 20, 17
Given numbers are 67, 45, 20, 17
The greatest common divisor of numbers 67, 45, 20, 17 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 67, 45, 20, 17 is 1.
FAQs on GCD of 67, 45, 20, 17 Calculator
1. What is the GCD of 67, 45, 20, 17?
GCD of given numbers 67, 45, 20, 17 is 1
2. How to calculate the greatest common divisor of 67, 45, 20, 17?
We can find the highest common divisor of 67, 45, 20, 17 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 67, 45, 20, 17 i.e 1.
3. How can I use the GCD of 67, 45, 20, 17Calculator?
Out the numbers 67, 45, 20, 17 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.