GCD of 828, 189, 208 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 828, 189, 208 quickly. Get the easiest ways to solve the greatest common divisor of 828, 189, 208 i.e 1 in different methods as follows.
Given Input numbers are 828, 189, 208
In the factoring method, we have to find the divisors of all numbers
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD of numbers is the greatest common divisor
So, the GCD (828, 189, 208) = 1.
Given numbers are 828, 189, 208
The list of prime factors of all numbers are
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 828, 189, 208 using LCM Formula
Given numbers are 828, 189, 208
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 189) = 17388
GCD(828, 189) = ( 828 x 189 ) / 17388
= 828 / 189
= 828
Step2:
LCM(9, 208) = 1872
GCD(9, 208) = ( 9 x 208 ) / 1872
= 9 / 208
= 9
So, Greatest Common Divisor of 828, 189, 208 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 828, 189, 208
Given numbers are 828, 189, 208
The greatest common divisor of numbers 828, 189, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 189, 208 is 1.
FAQs on GCD of 828, 189, 208 Calculator
1. What is the GCD of 828, 189, 208?
GCD of given numbers 828, 189, 208 is 1
2. How to calculate the greatest common divisor of 828, 189, 208?
We can find the highest common divisor of 828, 189, 208 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 828, 189, 208 i.e 1.
3. How can I use the GCD of 828, 189, 208Calculator?
Out the numbers 828, 189, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.