Online GCD Calculator is useful to find the GCD of 326, 858, 142, 288 quickly. Get the easiest ways to solve the greatest common divisor of 326, 858, 142, 288 i.e 2 in different methods as follows.
Given Input numbers are 326, 858, 142, 288
In the factoring method, we have to find the divisors of all numbers
Divisors of 326 :
The positive integer divisors of 326 that completely divides 326 are.
1, 2, 163, 326
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
GCD of numbers is the greatest common divisor
So, the GCD (326, 858, 142, 288) = 2.
Given numbers are 326, 858, 142, 288
The list of prime factors of all numbers are
Prime factors of 326 are 2 x 163
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 142 are 2 x 71
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
The highest common occurrence is 21
Therefore, GCD of 326, 858, 142, 288 is 2.
Given numbers are 326, 858, 142, 288
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(326, 858) = 139854
GCD(326, 858) = ( 326 x 858 ) / 139854
= 326 / 858
= 326
Step2:
LCM(2, 142) = 142
GCD(2, 142) = ( 2 x 142 ) / 142
= 2 / 142
= 2
Step3:
LCM(2, 288) = 288
GCD(2, 288) = ( 2 x 288 ) / 288
= 2 / 288
= 2
So, Greatest Common Divisor of 326, 858, 142, 288 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 326, 858, 142, 288
The greatest common divisor of numbers 326, 858, 142, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 326, 858, 142, 288 is 2.
1. What is the GCD of 326, 858, 142, 288?
GCD of given numbers 326, 858, 142, 288 is 2
2. How to calculate the greatest common divisor of 326, 858, 142, 288?
We can find the highest common divisor of 326, 858, 142, 288 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 326, 858, 142, 288 i.e 2.
3. How can I use the GCD of 326, 858, 142, 288Calculator?
Out the numbers 326, 858, 142, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.