GCD of 372, 596, 684 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 372, 596, 684 quickly. Get the easiest ways to solve the greatest common divisor of 372, 596, 684 i.e 4 in different methods as follows.
Given Input numbers are 372, 596, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 596 :
The positive integer divisors of 596 that completely divides 596 are.
1, 2, 4, 149, 298, 596
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 (372, 596, 684) = 4.
Given numbers are 372, 596, 684
The list of prime factors of all numbers are
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 596 are 2 x 2 x 149
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The highest common occurrence is 22
Therefore, GCD of 372, 596, 684 is 4.
Steps to Calculate GCD of 372, 596, 684 using LCM Formula
Given numbers are 372, 596, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(372, 596) = 55428
GCD(372, 596) = ( 372 x 596 ) / 55428
= 372 / 596
= 372
Step2:
LCM(4, 684) = 684
GCD(4, 684) = ( 4 x 684 ) / 684
= 4 / 684
= 4
So, Greatest Common Divisor of 372, 596, 684 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 372, 596, 684
Given numbers are 372, 596, 684
The greatest common divisor of numbers 372, 596, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 596, 684 is 4.
FAQs on GCD of 372, 596, 684 Calculator
1. What is the GCD of 372, 596, 684?
GCD of given numbers 372, 596, 684 is 4
2. How to calculate the greatest common divisor of 372, 596, 684?
We can find the highest common divisor of 372, 596, 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 372, 596, 684 i.e 4.
3. How can I use the GCD of 372, 596, 684Calculator?
Out the numbers 372, 596, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.