Online GCD Calculator is useful to find the GCD of 368, 168, 768, 384 quickly. Get the easiest ways to solve the greatest common divisor of 368, 168, 768, 384 i.e 8 in different methods as follows.
Given Input numbers are 368, 168, 768, 384
In the factoring method, we have to find the divisors of all numbers
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
GCD of numbers is the greatest common divisor
So, the GCD (368, 168, 768, 384) = 8.
Given numbers are 368, 168, 768, 384
The list of prime factors of all numbers are
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
The highest common occurrence is 23
Therefore, GCD of 368, 168, 768, 384 is 8.
Given numbers are 368, 168, 768, 384
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(368, 168) = 7728
GCD(368, 168) = ( 368 x 168 ) / 7728
= 368 / 168
= 368
Step2:
LCM(8, 768) = 768
GCD(8, 768) = ( 8 x 768 ) / 768
= 8 / 768
= 8
Step3:
LCM(8, 384) = 384
GCD(8, 384) = ( 8 x 384 ) / 384
= 8 / 384
= 8
So, Greatest Common Divisor of 368, 168, 768, 384 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 368, 168, 768, 384
The greatest common divisor of numbers 368, 168, 768, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 368, 168, 768, 384 is 8.
1. What is the GCD of 368, 168, 768, 384?
GCD of given numbers 368, 168, 768, 384 is 8
2. How to calculate the greatest common divisor of 368, 168, 768, 384?
We can find the highest common divisor of 368, 168, 768, 384 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 368, 168, 768, 384 i.e 8.
3. How can I use the GCD of 368, 168, 768, 384Calculator?
Out the numbers 368, 168, 768, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.