Online GCD Calculator is useful to find the GCD of 384, 660, 758, 476 quickly. Get the easiest ways to solve the greatest common divisor of 384, 660, 758, 476 i.e 2 in different methods as follows.
Given Input numbers are 384, 660, 758, 476
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 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
GCD of numbers is the greatest common divisor
So, the GCD (384, 660, 758, 476) = 2.
Given numbers are 384, 660, 758, 476
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 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 758 are 2 x 379
Prime factors of 476 are 2 x 2 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 384, 660, 758, 476 is 2.
Given numbers are 384, 660, 758, 476
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 660) = 21120
GCD(384, 660) = ( 384 x 660 ) / 21120
= 384 / 660
= 384
Step2:
LCM(12, 758) = 4548
GCD(12, 758) = ( 12 x 758 ) / 4548
= 12 / 758
= 12
Step3:
LCM(2, 476) = 476
GCD(2, 476) = ( 2 x 476 ) / 476
= 2 / 476
= 2
So, Greatest Common Divisor of 384, 660, 758, 476 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 660, 758, 476
The greatest common divisor of numbers 384, 660, 758, 476 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 660, 758, 476 is 2.
1. What is the GCD of 384, 660, 758, 476?
GCD of given numbers 384, 660, 758, 476 is 2
2. How to calculate the greatest common divisor of 384, 660, 758, 476?
We can find the highest common divisor of 384, 660, 758, 476 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, 660, 758, 476 i.e 2.
3. How can I use the GCD of 384, 660, 758, 476Calculator?
Out the numbers 384, 660, 758, 476 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.