Online GCD Calculator is useful to find the GCD of 384, 318, 542, 268 quickly. Get the easiest ways to solve the greatest common divisor of 384, 318, 542, 268 i.e 2 in different methods as follows.
Given Input numbers are 384, 318, 542, 268
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 542 :
The positive integer divisors of 542 that completely divides 542 are.
1, 2, 271, 542
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
GCD of numbers is the greatest common divisor
So, the GCD (384, 318, 542, 268) = 2.
Given numbers are 384, 318, 542, 268
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 318 are 2 x 3 x 53
Prime factors of 542 are 2 x 271
Prime factors of 268 are 2 x 2 x 67
The highest common occurrence is 21
Therefore, GCD of 384, 318, 542, 268 is 2.
Given numbers are 384, 318, 542, 268
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 318) = 20352
GCD(384, 318) = ( 384 x 318 ) / 20352
= 384 / 318
= 384
Step2:
LCM(6, 542) = 1626
GCD(6, 542) = ( 6 x 542 ) / 1626
= 6 / 542
= 6
Step3:
LCM(2, 268) = 268
GCD(2, 268) = ( 2 x 268 ) / 268
= 2 / 268
= 2
So, Greatest Common Divisor of 384, 318, 542, 268 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 318, 542, 268
The greatest common divisor of numbers 384, 318, 542, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 318, 542, 268 is 2.
1. What is the GCD of 384, 318, 542, 268?
GCD of given numbers 384, 318, 542, 268 is 2
2. How to calculate the greatest common divisor of 384, 318, 542, 268?
We can find the highest common divisor of 384, 318, 542, 268 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 384, 318, 542, 268 i.e 2.
3. How can I use the GCD of 384, 318, 542, 268Calculator?
Out the numbers 384, 318, 542, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.