Online GCD Calculator is useful to find the GCD of 207, 384, 192, 369 quickly. Get the easiest ways to solve the greatest common divisor of 207, 384, 192, 369 i.e 3 in different methods as follows.
Given Input numbers are 207, 384, 192, 369
In the factoring method, we have to find the divisors of all numbers
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
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 192 :
The positive integer divisors of 192 that completely divides 192 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
GCD of numbers is the greatest common divisor
So, the GCD (207, 384, 192, 369) = 3.
Given numbers are 207, 384, 192, 369
The list of prime factors of all numbers are
Prime factors of 207 are 3 x 3 x 23
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 369 are 3 x 3 x 41
The highest common occurrence is 31
Therefore, GCD of 207, 384, 192, 369 is 3.
Given numbers are 207, 384, 192, 369
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(207, 384) = 26496
GCD(207, 384) = ( 207 x 384 ) / 26496
= 207 / 384
= 207
Step2:
LCM(3, 192) = 192
GCD(3, 192) = ( 3 x 192 ) / 192
= 3 / 192
= 3
Step3:
LCM(3, 369) = 369
GCD(3, 369) = ( 3 x 369 ) / 369
= 3 / 369
= 3
So, Greatest Common Divisor of 207, 384, 192, 369 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 207, 384, 192, 369
The greatest common divisor of numbers 207, 384, 192, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 384, 192, 369 is 3.
1. What is the GCD of 207, 384, 192, 369?
GCD of given numbers 207, 384, 192, 369 is 3
2. How to calculate the greatest common divisor of 207, 384, 192, 369?
We can find the highest common divisor of 207, 384, 192, 369 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 207, 384, 192, 369 i.e 3.
3. How can I use the GCD of 207, 384, 192, 369Calculator?
Out the numbers 207, 384, 192, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.