GCD of 216, 702, 644 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 216, 702, 644 quickly. Get the easiest ways to solve the greatest common divisor of 216, 702, 644 i.e 2 in different methods as follows.
Given Input numbers are 216, 702, 644
In the factoring method, we have to find the divisors of all numbers
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
GCD of numbers is the greatest common divisor
So, the GCD (216, 702, 644) = 2.
Given numbers are 216, 702, 644
The list of prime factors of all numbers are
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 644 are 2 x 2 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 216, 702, 644 is 2.
Steps to Calculate GCD of 216, 702, 644 using LCM Formula
Given numbers are 216, 702, 644
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(216, 702) = 2808
GCD(216, 702) = ( 216 x 702 ) / 2808
= 216 / 702
= 216
Step2:
LCM(54, 644) = 17388
GCD(54, 644) = ( 54 x 644 ) / 17388
= 54 / 644
= 54
So, Greatest Common Divisor of 216, 702, 644 is 2
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 216, 702, 644
Given numbers are 216, 702, 644
The greatest common divisor of numbers 216, 702, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 702, 644 is 2.
FAQs on GCD of 216, 702, 644 Calculator
1. What is the GCD of 216, 702, 644?
GCD of given numbers 216, 702, 644 is 2
2. How to calculate the greatest common divisor of 216, 702, 644?
We can find the highest common divisor of 216, 702, 644 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 216, 702, 644 i.e 2.
3. How can I use the GCD of 216, 702, 644Calculator?
Out the numbers 216, 702, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.