GCD of 45, 54, 64, 21 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 45, 54, 64, 21 quickly. Get the easiest ways to solve the greatest common divisor of 45, 54, 64, 21 i.e 1 in different methods as follows.
Given Input numbers are 45, 54, 64, 21
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 54 :
The positive integer divisors of 54 that completely divides 54 are.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 64 :
The positive integer divisors of 64 that completely divides 64 are.
1, 2, 4, 8, 16, 32, 64
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
GCD of numbers is the greatest common divisor
So, the GCD (45, 54, 64, 21) = 1.
Given numbers are 45, 54, 64, 21
The list of prime factors of all numbers are
Prime factors of 45 are 3 x 3 x 5
Prime factors of 54 are 2 x 3 x 3 x 3
Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 21 are 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 45, 54, 64, 21 using LCM Formula
Given numbers are 45, 54, 64, 21
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(45, 54) = 270
GCD(45, 54) = ( 45 x 54 ) / 270
= 45 / 54
= 45
Step2:
LCM(9, 64) = 576
GCD(9, 64) = ( 9 x 64 ) / 576
= 9 / 64
= 9
Step3:
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
= 1 / 21
= 1
So, Greatest Common Divisor of 45, 54, 64, 21 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 45, 54, 64, 21
Given numbers are 45, 54, 64, 21
The greatest common divisor of numbers 45, 54, 64, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 45, 54, 64, 21 is 1.
FAQs on GCD of 45, 54, 64, 21 Calculator
1. What is the GCD of 45, 54, 64, 21?
GCD of given numbers 45, 54, 64, 21 is 1
2. How to calculate the greatest common divisor of 45, 54, 64, 21?
We can find the highest common divisor of 45, 54, 64, 21 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, 54, 64, 21 i.e 1.
3. How can I use the GCD of 45, 54, 64, 21Calculator?
Out the numbers 45, 54, 64, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.