Online GCD Calculator is useful to find the GCD of 468, 788, 784, 508 quickly. Get the easiest ways to solve the greatest common divisor of 468, 788, 784, 508 i.e 4 in different methods as follows.
Given Input numbers are 468, 788, 784, 508
In the factoring method, we have to find the divisors of all numbers
Divisors of 468 :
The positive integer divisors of 468 that completely divides 468 are.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
GCD of numbers is the greatest common divisor
So, the GCD (468, 788, 784, 508) = 4.
Given numbers are 468, 788, 784, 508
The list of prime factors of all numbers are
Prime factors of 468 are 2 x 2 x 3 x 3 x 13
Prime factors of 788 are 2 x 2 x 197
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 508 are 2 x 2 x 127
The highest common occurrence is 22
Therefore, GCD of 468, 788, 784, 508 is 4.
Given numbers are 468, 788, 784, 508
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(468, 788) = 92196
GCD(468, 788) = ( 468 x 788 ) / 92196
= 468 / 788
= 468
Step2:
LCM(4, 784) = 784
GCD(4, 784) = ( 4 x 784 ) / 784
= 4 / 784
= 4
Step3:
LCM(4, 508) = 508
GCD(4, 508) = ( 4 x 508 ) / 508
= 4 / 508
= 4
So, Greatest Common Divisor of 468, 788, 784, 508 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 468, 788, 784, 508
The greatest common divisor of numbers 468, 788, 784, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 788, 784, 508 is 4.
1. What is the GCD of 468, 788, 784, 508?
GCD of given numbers 468, 788, 784, 508 is 4
2. How to calculate the greatest common divisor of 468, 788, 784, 508?
We can find the highest common divisor of 468, 788, 784, 508 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 468, 788, 784, 508 i.e 4.
3. How can I use the GCD of 468, 788, 784, 508Calculator?
Out the numbers 468, 788, 784, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.