GCD of 828, 675, 644 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 828, 675, 644 quickly. Get the easiest ways to solve the greatest common divisor of 828, 675, 644 i.e 1 in different methods as follows.
Given Input numbers are 828, 675, 644
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 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
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 (828, 675, 644) = 1.
Given numbers are 828, 675, 644
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 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 644 are 2 x 2 x 7 x 23
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 828, 675, 644 using LCM Formula
Given numbers are 828, 675, 644
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(828, 675) = 62100
GCD(828, 675) = ( 828 x 675 ) / 62100
= 828 / 675
= 828
Step2:
LCM(9, 644) = 5796
GCD(9, 644) = ( 9 x 644 ) / 5796
= 9 / 644
= 9
So, Greatest Common Divisor of 828, 675, 644 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 828, 675, 644
Given numbers are 828, 675, 644
The greatest common divisor of numbers 828, 675, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 675, 644 is 1.
FAQs on GCD of 828, 675, 644 Calculator
1. What is the GCD of 828, 675, 644?
GCD of given numbers 828, 675, 644 is 1
2. How to calculate the greatest common divisor of 828, 675, 644?
We can find the highest common divisor of 828, 675, 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 828, 675, 644 i.e 1.
3. How can I use the GCD of 828, 675, 644Calculator?
Out the numbers 828, 675, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.