GCD of 45, 60, 84, 20 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 45, 60, 84, 20 quickly. Get the easiest ways to solve the greatest common divisor of 45, 60, 84, 20 i.e 1 in different methods as follows.
Given Input numbers are 45, 60, 84, 20
In the factoring method, we have to find the divisors of all numbers
Divisors of 45 :
The positive integer divisors of 45 that completely divides 45 are.
1, 3, 5, 9, 15, 45
Divisors of 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 84 :
The positive integer divisors of 84 that completely divides 84 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 20 :
The positive integer divisors of 20 that completely divides 20 are.
1, 2, 4, 5, 10, 20
GCD of numbers is the greatest common divisor
So, the GCD (45, 60, 84, 20) = 1.
Given numbers are 45, 60, 84, 20
The list of prime factors of all numbers are
Prime factors of 45 are 3 x 3 x 5
Prime factors of 60 are 2 x 2 x 3 x 5
Prime factors of 84 are 2 x 2 x 3 x 7
Prime factors of 20 are 2 x 2 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 45, 60, 84, 20 using LCM Formula
Given numbers are 45, 60, 84, 20
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(45, 60) = 180
GCD(45, 60) = ( 45 x 60 ) / 180
= 45 / 60
= 45
Step2:
LCM(15, 84) = 420
GCD(15, 84) = ( 15 x 84 ) / 420
= 15 / 84
= 15
Step3:
LCM(3, 20) = 60
GCD(3, 20) = ( 3 x 20 ) / 60
= 3 / 20
= 3
So, Greatest Common Divisor of 45, 60, 84, 20 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 45, 60, 84, 20
Given numbers are 45, 60, 84, 20
The greatest common divisor of numbers 45, 60, 84, 20 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 45, 60, 84, 20 is 1.
FAQs on GCD of 45, 60, 84, 20 Calculator
1. What is the GCD of 45, 60, 84, 20?
GCD of given numbers 45, 60, 84, 20 is 1
2. How to calculate the greatest common divisor of 45, 60, 84, 20?
We can find the highest common divisor of 45, 60, 84, 20 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 45, 60, 84, 20 i.e 1.
3. How can I use the GCD of 45, 60, 84, 20Calculator?
Out the numbers 45, 60, 84, 20 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.