Online GCD Calculator is useful to find the GCD of 872, 320, 496, 898 quickly. Get the easiest ways to solve the greatest common divisor of 872, 320, 496, 898 i.e 2 in different methods as follows.
Given Input numbers are 872, 320, 496, 898
In the factoring method, we have to find the divisors of all numbers
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
GCD of numbers is the greatest common divisor
So, the GCD (872, 320, 496, 898) = 2.
Given numbers are 872, 320, 496, 898
The list of prime factors of all numbers are
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 898 are 2 x 449
The highest common occurrence is 21
Therefore, GCD of 872, 320, 496, 898 is 2.
Given numbers are 872, 320, 496, 898
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(872, 320) = 34880
GCD(872, 320) = ( 872 x 320 ) / 34880
= 872 / 320
= 872
Step2:
LCM(8, 496) = 496
GCD(8, 496) = ( 8 x 496 ) / 496
= 8 / 496
= 8
Step3:
LCM(8, 898) = 3592
GCD(8, 898) = ( 8 x 898 ) / 3592
= 8 / 898
= 8
So, Greatest Common Divisor of 872, 320, 496, 898 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 872, 320, 496, 898
The greatest common divisor of numbers 872, 320, 496, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 320, 496, 898 is 2.
1. What is the GCD of 872, 320, 496, 898?
GCD of given numbers 872, 320, 496, 898 is 2
2. How to calculate the greatest common divisor of 872, 320, 496, 898?
We can find the highest common divisor of 872, 320, 496, 898 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 872, 320, 496, 898 i.e 2.
3. How can I use the GCD of 872, 320, 496, 898Calculator?
Out the numbers 872, 320, 496, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.