GCD of 898, 656, 828 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 898, 656, 828 quickly. Get the easiest ways to solve the greatest common divisor of 898, 656, 828 i.e 2 in different methods as follows.
Given Input numbers are 898, 656, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
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
GCD of numbers is the greatest common divisor
So, the GCD (898, 656, 828) = 2.
Given numbers are 898, 656, 828
The list of prime factors of all numbers are
Prime factors of 898 are 2 x 449
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 898, 656, 828 is 2.
Steps to Calculate GCD of 898, 656, 828 using LCM Formula
Given numbers are 898, 656, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(898, 656) = 294544
GCD(898, 656) = ( 898 x 656 ) / 294544
= 898 / 656
= 898
Step2:
LCM(2, 828) = 828
GCD(2, 828) = ( 2 x 828 ) / 828
= 2 / 828
= 2
So, Greatest Common Divisor of 898, 656, 828 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 898, 656, 828
Given numbers are 898, 656, 828
The greatest common divisor of numbers 898, 656, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 656, 828 is 2.
FAQs on GCD of 898, 656, 828 Calculator
1. What is the GCD of 898, 656, 828?
GCD of given numbers 898, 656, 828 is 2
2. How to calculate the greatest common divisor of 898, 656, 828?
We can find the highest common divisor of 898, 656, 828 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 898, 656, 828 i.e 2.
3. How can I use the GCD of 898, 656, 828Calculator?
Out the numbers 898, 656, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.