GCD of 744, 312, 678 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 744, 312, 678 quickly. Get the easiest ways to solve the greatest common divisor of 744, 312, 678 i.e 6 in different methods as follows.
Given Input numbers are 744, 312, 678
In the factoring method, we have to find the divisors of all numbers
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
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 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (744, 312, 678) = 6.
Given numbers are 744, 312, 678
The list of prime factors of all numbers are
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 678 are 2 x 3 x 113
The highest common occurrence is 21 x 31
Therefore, GCD of 744, 312, 678 is 6.
Steps to Calculate GCD of 744, 312, 678 using LCM Formula
Given numbers are 744, 312, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(744, 312) = 9672
GCD(744, 312) = ( 744 x 312 ) / 9672
= 744 / 312
= 744
Step2:
LCM(24, 678) = 2712
GCD(24, 678) = ( 24 x 678 ) / 2712
= 24 / 678
= 24
So, Greatest Common Divisor of 744, 312, 678 is 6
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 744, 312, 678
Given numbers are 744, 312, 678
The greatest common divisor of numbers 744, 312, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 312, 678 is 6.
FAQs on GCD of 744, 312, 678 Calculator
1. What is the GCD of 744, 312, 678?
GCD of given numbers 744, 312, 678 is 6
2. How to calculate the greatest common divisor of 744, 312, 678?
We can find the highest common divisor of 744, 312, 678 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 744, 312, 678 i.e 6.
3. How can I use the GCD of 744, 312, 678Calculator?
Out the numbers 744, 312, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.