GCD of 963, 408, 72 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 963, 408, 72 quickly. Get the easiest ways to solve the greatest common divisor of 963, 408, 72 i.e 3 in different methods as follows.
Given Input numbers are 963, 408, 72
In the factoring method, we have to find the divisors of all numbers
Divisors of 963 :
The positive integer divisors of 963 that completely divides 963 are.
1, 3, 9, 107, 321, 963
Divisors of 408 :
The positive integer divisors of 408 that completely divides 408 are.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
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
GCD of numbers is the greatest common divisor
So, the GCD (963, 408, 72) = 3.
Given numbers are 963, 408, 72
The list of prime factors of all numbers are
Prime factors of 963 are 3 x 3 x 107
Prime factors of 408 are 2 x 2 x 2 x 3 x 17
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 963, 408, 72 is 3.
Steps to Calculate GCD of 963, 408, 72 using LCM Formula
Given numbers are 963, 408, 72
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(963, 408) = 130968
GCD(963, 408) = ( 963 x 408 ) / 130968
= 963 / 408
= 963
Step2:
LCM(3, 72) = 72
GCD(3, 72) = ( 3 x 72 ) / 72
= 3 / 72
= 3
So, Greatest Common Divisor of 963, 408, 72 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 963, 408, 72
Given numbers are 963, 408, 72
The greatest common divisor of numbers 963, 408, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 963, 408, 72 is 3.
FAQs on GCD of 963, 408, 72 Calculator
1. What is the GCD of 963, 408, 72?
GCD of given numbers 963, 408, 72 is 3
2. How to calculate the greatest common divisor of 963, 408, 72?
We can find the highest common divisor of 963, 408, 72 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 963, 408, 72 i.e 3.
3. How can I use the GCD of 963, 408, 72Calculator?
Out the numbers 963, 408, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.