GCD of 792, 864, 60 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 792, 864, 60 quickly. Get the easiest ways to solve the greatest common divisor of 792, 864, 60 i.e 12 in different methods as follows.
Given Input numbers are 792, 864, 60
In the factoring method, we have to find the divisors of all numbers
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
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
GCD of numbers is the greatest common divisor
So, the GCD (792, 864, 60) = 12.
Given numbers are 792, 864, 60
The list of prime factors of all numbers are
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 60 are 2 x 2 x 3 x 5
The highest common occurrence is 22 x 31
Therefore, GCD of 792, 864, 60 is 12.
Steps to Calculate GCD of 792, 864, 60 using LCM Formula
Given numbers are 792, 864, 60
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(792, 864) = 9504
GCD(792, 864) = ( 792 x 864 ) / 9504
= 792 / 864
= 792
Step2:
LCM(72, 60) = 360
GCD(72, 60) = ( 72 x 60 ) / 360
= 72 / 60
= 72
So, Greatest Common Divisor of 792, 864, 60 is 12
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 792, 864, 60
Given numbers are 792, 864, 60
The greatest common divisor of numbers 792, 864, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 864, 60 is 12.
FAQs on GCD of 792, 864, 60 Calculator
1. What is the GCD of 792, 864, 60?
GCD of given numbers 792, 864, 60 is 12
2. How to calculate the greatest common divisor of 792, 864, 60?
We can find the highest common divisor of 792, 864, 60 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 792, 864, 60 i.e 12.
3. How can I use the GCD of 792, 864, 60Calculator?
Out the numbers 792, 864, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.