Online GCD Calculator is useful to find the GCD of 898, 582, 108, 168 quickly. Get the easiest ways to solve the greatest common divisor of 898, 582, 108, 168 i.e 2 in different methods as follows.
Given Input numbers are 898, 582, 108, 168
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 582 :
The positive integer divisors of 582 that completely divides 582 are.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
GCD of numbers is the greatest common divisor
So, the GCD (898, 582, 108, 168) = 2.
Given numbers are 898, 582, 108, 168
The list of prime factors of all numbers are
Prime factors of 898 are 2 x 449
Prime factors of 582 are 2 x 3 x 97
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 898, 582, 108, 168 is 2.
Given numbers are 898, 582, 108, 168
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(898, 582) = 261318
GCD(898, 582) = ( 898 x 582 ) / 261318
= 898 / 582
= 898
Step2:
LCM(2, 108) = 108
GCD(2, 108) = ( 2 x 108 ) / 108
= 2 / 108
= 2
Step3:
LCM(2, 168) = 168
GCD(2, 168) = ( 2 x 168 ) / 168
= 2 / 168
= 2
So, Greatest Common Divisor of 898, 582, 108, 168 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 898, 582, 108, 168
The greatest common divisor of numbers 898, 582, 108, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 898, 582, 108, 168 is 2.
1. What is the GCD of 898, 582, 108, 168?
GCD of given numbers 898, 582, 108, 168 is 2
2. How to calculate the greatest common divisor of 898, 582, 108, 168?
We can find the highest common divisor of 898, 582, 108, 168 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, 582, 108, 168 i.e 2.
3. How can I use the GCD of 898, 582, 108, 168Calculator?
Out the numbers 898, 582, 108, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.