Online GCD Calculator is useful to find the GCD of 864, 898, 684, 248 quickly. Get the easiest ways to solve the greatest common divisor of 864, 898, 684, 248 i.e 2 in different methods as follows.
Given Input numbers are 864, 898, 684, 248
In the factoring method, we have to find the divisors of all numbers
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
GCD of numbers is the greatest common divisor
So, the GCD (864, 898, 684, 248) = 2.
Given numbers are 864, 898, 684, 248
The list of prime factors of all numbers are
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 898 are 2 x 449
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 248 are 2 x 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 864, 898, 684, 248 is 2.
Given numbers are 864, 898, 684, 248
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(864, 898) = 387936
GCD(864, 898) = ( 864 x 898 ) / 387936
= 864 / 898
= 864
Step2:
LCM(2, 684) = 684
GCD(2, 684) = ( 2 x 684 ) / 684
= 2 / 684
= 2
Step3:
LCM(2, 248) = 248
GCD(2, 248) = ( 2 x 248 ) / 248
= 2 / 248
= 2
So, Greatest Common Divisor of 864, 898, 684, 248 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 864, 898, 684, 248
The greatest common divisor of numbers 864, 898, 684, 248 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 898, 684, 248 is 2.
1. What is the GCD of 864, 898, 684, 248?
GCD of given numbers 864, 898, 684, 248 is 2
2. How to calculate the greatest common divisor of 864, 898, 684, 248?
We can find the highest common divisor of 864, 898, 684, 248 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 864, 898, 684, 248 i.e 2.
3. How can I use the GCD of 864, 898, 684, 248Calculator?
Out the numbers 864, 898, 684, 248 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.