GCD of 378, 792, 684 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 378, 792, 684 quickly. Get the easiest ways to solve the greatest common divisor of 378, 792, 684 i.e 18 in different methods as follows.
Given Input numbers are 378, 792, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 378 :
The positive integer divisors of 378 that completely divides 378 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
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 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (378, 792, 684) = 18.
Given numbers are 378, 792, 684
The list of prime factors of all numbers are
Prime factors of 378 are 2 x 3 x 3 x 3 x 7
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The highest common occurrence is 21 x 32
Therefore, GCD of 378, 792, 684 is 18.
Steps to Calculate GCD of 378, 792, 684 using LCM Formula
Given numbers are 378, 792, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(378, 792) = 16632
GCD(378, 792) = ( 378 x 792 ) / 16632
= 378 / 792
= 378
Step2:
LCM(18, 684) = 684
GCD(18, 684) = ( 18 x 684 ) / 684
= 18 / 684
= 18
So, Greatest Common Divisor of 378, 792, 684 is 18
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 378, 792, 684
Given numbers are 378, 792, 684
The greatest common divisor of numbers 378, 792, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 792, 684 is 18.
FAQs on GCD of 378, 792, 684 Calculator
1. What is the GCD of 378, 792, 684?
GCD of given numbers 378, 792, 684 is 18
2. How to calculate the greatest common divisor of 378, 792, 684?
We can find the highest common divisor of 378, 792, 684 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 378, 792, 684 i.e 18.
3. How can I use the GCD of 378, 792, 684Calculator?
Out the numbers 378, 792, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.