Online GCD Calculator is useful to find the GCD of 268, 288, 336 quickly. Get the easiest ways to solve the greatest common divisor of 268, 288, 336 i.e 4 in different methods as follows.
Given Input numbers are 268, 288, 336
In the factoring method, we have to find the divisors of all numbers
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
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
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (268, 288, 336) = 4.
Given numbers are 268, 288, 336
The list of prime factors of all numbers are
Prime factors of 268 are 2 x 2 x 67
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 268, 288, 336 is 4.
Given numbers are 268, 288, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(268, 288) = 19296
GCD(268, 288) = ( 268 x 288 ) / 19296
= 268 / 288
= 268
Step2:
LCM(4, 336) = 336
GCD(4, 336) = ( 4 x 336 ) / 336
= 4 / 336
= 4
So, Greatest Common Divisor of 268, 288, 336 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 268, 288, 336
The greatest common divisor of numbers 268, 288, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 288, 336 is 4.
1. What is the GCD of 268, 288, 336?
GCD of given numbers 268, 288, 336 is 4
2. How to calculate the greatest common divisor of 268, 288, 336?
We can find the highest common divisor of 268, 288, 336 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 268, 288, 336 i.e 4.
3. How can I use the GCD of 268, 288, 336Calculator?
Out the numbers 268, 288, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.