Online GCD Calculator is useful to find the GCD of 284, 864, 950, 338 quickly. Get the easiest ways to solve the greatest common divisor of 284, 864, 950, 338 i.e 2 in different methods as follows.
Given Input numbers are 284, 864, 950, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
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 950 :
The positive integer divisors of 950 that completely divides 950 are.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (284, 864, 950, 338) = 2.
Given numbers are 284, 864, 950, 338
The list of prime factors of all numbers are
Prime factors of 284 are 2 x 2 x 71
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 950 are 2 x 5 x 5 x 19
Prime factors of 338 are 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 284, 864, 950, 338 is 2.
Given numbers are 284, 864, 950, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(284, 864) = 61344
GCD(284, 864) = ( 284 x 864 ) / 61344
= 284 / 864
= 284
Step2:
LCM(4, 950) = 1900
GCD(4, 950) = ( 4 x 950 ) / 1900
= 4 / 950
= 4
Step3:
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
= 2 / 338
= 2
So, Greatest Common Divisor of 284, 864, 950, 338 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 284, 864, 950, 338
The greatest common divisor of numbers 284, 864, 950, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 284, 864, 950, 338 is 2.
1. What is the GCD of 284, 864, 950, 338?
GCD of given numbers 284, 864, 950, 338 is 2
2. How to calculate the greatest common divisor of 284, 864, 950, 338?
We can find the highest common divisor of 284, 864, 950, 338 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 284, 864, 950, 338 i.e 2.
3. How can I use the GCD of 284, 864, 950, 338Calculator?
Out the numbers 284, 864, 950, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.