GCD of 396, 700, 684 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 396, 700, 684 quickly. Get the easiest ways to solve the greatest common divisor of 396, 700, 684 i.e 4 in different methods as follows.
Given Input numbers are 396, 700, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
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 (396, 700, 684) = 4.
Given numbers are 396, 700, 684
The list of prime factors of all numbers are
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The highest common occurrence is 22
Therefore, GCD of 396, 700, 684 is 4.
Steps to Calculate GCD of 396, 700, 684 using LCM Formula
Given numbers are 396, 700, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(396, 700) = 69300
GCD(396, 700) = ( 396 x 700 ) / 69300
= 396 / 700
= 396
Step2:
LCM(4, 684) = 684
GCD(4, 684) = ( 4 x 684 ) / 684
= 4 / 684
= 4
So, Greatest Common Divisor of 396, 700, 684 is 4
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 396, 700, 684
Given numbers are 396, 700, 684
The greatest common divisor of numbers 396, 700, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 700, 684 is 4.
FAQs on GCD of 396, 700, 684 Calculator
1. What is the GCD of 396, 700, 684?
GCD of given numbers 396, 700, 684 is 4
2. How to calculate the greatest common divisor of 396, 700, 684?
We can find the highest common divisor of 396, 700, 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 396, 700, 684 i.e 4.
3. How can I use the GCD of 396, 700, 684Calculator?
Out the numbers 396, 700, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.