Online GCD Calculator is useful to find the GCD of 844, 298, 828 quickly. Get the easiest ways to solve the greatest common divisor of 844, 298, 828 i.e 2 in different methods as follows.
Given Input numbers are 844, 298, 828
In the factoring method, we have to find the divisors of all numbers
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
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 (844, 298, 828) = 2.
Given numbers are 844, 298, 828
The list of prime factors of all numbers are
Prime factors of 844 are 2 x 2 x 211
Prime factors of 298 are 2 x 149
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 844, 298, 828 is 2.
Given numbers are 844, 298, 828
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(844, 298) = 125756
GCD(844, 298) = ( 844 x 298 ) / 125756
= 844 / 298
= 844
Step2:
LCM(2, 828) = 828
GCD(2, 828) = ( 2 x 828 ) / 828
= 2 / 828
= 2
So, Greatest Common Divisor of 844, 298, 828 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 844, 298, 828
The greatest common divisor of numbers 844, 298, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 844, 298, 828 is 2.
1. What is the GCD of 844, 298, 828?
GCD of given numbers 844, 298, 828 is 2
2. How to calculate the greatest common divisor of 844, 298, 828?
We can find the highest common divisor of 844, 298, 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 844, 298, 828 i.e 2.
3. How can I use the GCD of 844, 298, 828Calculator?
Out the numbers 844, 298, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.