Online GCD Calculator is useful to find the GCD of 768, 465, 480, 363 quickly. Get the easiest ways to solve the greatest common divisor of 768, 465, 480, 363 i.e 3 in different methods as follows.
Given Input numbers are 768, 465, 480, 363
In the factoring method, we have to find the divisors of all numbers
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 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
GCD of numbers is the greatest common divisor
So, the GCD (768, 465, 480, 363) = 3.
Given numbers are 768, 465, 480, 363
The list of prime factors of all numbers are
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 465 are 3 x 5 x 31
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 363 are 3 x 11 x 11
The highest common occurrence is 31
Therefore, GCD of 768, 465, 480, 363 is 3.
Given numbers are 768, 465, 480, 363
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(768, 465) = 119040
GCD(768, 465) = ( 768 x 465 ) / 119040
= 768 / 465
= 768
Step2:
LCM(3, 480) = 480
GCD(3, 480) = ( 3 x 480 ) / 480
= 3 / 480
= 3
Step3:
LCM(3, 363) = 363
GCD(3, 363) = ( 3 x 363 ) / 363
= 3 / 363
= 3
So, Greatest Common Divisor of 768, 465, 480, 363 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 768, 465, 480, 363
The greatest common divisor of numbers 768, 465, 480, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 768, 465, 480, 363 is 3.
1. What is the GCD of 768, 465, 480, 363?
GCD of given numbers 768, 465, 480, 363 is 3
2. How to calculate the greatest common divisor of 768, 465, 480, 363?
We can find the highest common divisor of 768, 465, 480, 363 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 768, 465, 480, 363 i.e 3.
3. How can I use the GCD of 768, 465, 480, 363Calculator?
Out the numbers 768, 465, 480, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.