GCD of 768, 312, 564 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 768, 312, 564 quickly. Get the easiest ways to solve the greatest common divisor of 768, 312, 564 i.e 12 in different methods as follows.
Given Input numbers are 768, 312, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (768, 312, 564) = 12.
Given numbers are 768, 312, 564
The list of prime factors of all numbers are
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 22 x 31
Therefore, GCD of 768, 312, 564 is 12.
Steps to Calculate GCD of 768, 312, 564 using LCM Formula
Given numbers are 768, 312, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(768, 312) = 9984
GCD(768, 312) = ( 768 x 312 ) / 9984
= 768 / 312
= 768
Step2:
LCM(24, 564) = 1128
GCD(24, 564) = ( 24 x 564 ) / 1128
= 24 / 564
= 24
So, Greatest Common Divisor of 768, 312, 564 is 12
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 768, 312, 564
Given numbers are 768, 312, 564
The greatest common divisor of numbers 768, 312, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 312, 564 is 12.
FAQs on GCD of 768, 312, 564 Calculator
1. What is the GCD of 768, 312, 564?
GCD of given numbers 768, 312, 564 is 12
2. How to calculate the greatest common divisor of 768, 312, 564?
We can find the highest common divisor of 768, 312, 564 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 768, 312, 564 i.e 12.
3. How can I use the GCD of 768, 312, 564Calculator?
Out the numbers 768, 312, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.