GCD of 63, 72, 96, 45 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 63, 72, 96, 45 quickly. Get the easiest ways to solve the greatest common divisor of 63, 72, 96, 45 i.e 3 in different methods as follows.
Given Input numbers are 63, 72, 96, 45
In the factoring method, we have to find the divisors of all numbers
Divisors of 63 :
The positive integer divisors of 63 that completely divides 63 are.
1, 3, 7, 9, 21, 63
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 96 :
The positive integer divisors of 96 that completely divides 96 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
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 (63, 72, 96, 45) = 3.
Given numbers are 63, 72, 96, 45
The list of prime factors of all numbers are
Prime factors of 63 are 3 x 3 x 7
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 45 are 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 63, 72, 96, 45 is 3.
Steps to Calculate GCD of 63, 72, 96, 45 using LCM Formula
Given numbers are 63, 72, 96, 45
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(63, 72) = 504
GCD(63, 72) = ( 63 x 72 ) / 504
= 63 / 72
= 63
Step2:
LCM(9, 96) = 288
GCD(9, 96) = ( 9 x 96 ) / 288
= 9 / 96
= 9
Step3:
LCM(3, 45) = 45
GCD(3, 45) = ( 3 x 45 ) / 45
= 3 / 45
= 3
So, Greatest Common Divisor of 63, 72, 96, 45 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 63, 72, 96, 45
Given numbers are 63, 72, 96, 45
The greatest common divisor of numbers 63, 72, 96, 45 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 63, 72, 96, 45 is 3.
FAQs on GCD of 63, 72, 96, 45 Calculator
1. What is the GCD of 63, 72, 96, 45?
GCD of given numbers 63, 72, 96, 45 is 3
2. How to calculate the greatest common divisor of 63, 72, 96, 45?
We can find the highest common divisor of 63, 72, 96, 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 63, 72, 96, 45 i.e 3.
3. How can I use the GCD of 63, 72, 96, 45Calculator?
Out the numbers 63, 72, 96, 45 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.