Online GCD Calculator is useful to find the GCD of 656, 832, 872, 492 quickly. Get the easiest ways to solve the greatest common divisor of 656, 832, 872, 492 i.e 4 in different methods as follows.
Given Input numbers are 656, 832, 872, 492
In the factoring method, we have to find the divisors of all numbers
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 832 :
The positive integer divisors of 832 that completely divides 832 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
GCD of numbers is the greatest common divisor
So, the GCD (656, 832, 872, 492) = 4.
Given numbers are 656, 832, 872, 492
The list of prime factors of all numbers are
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 492 are 2 x 2 x 3 x 41
The highest common occurrence is 22
Therefore, GCD of 656, 832, 872, 492 is 4.
Given numbers are 656, 832, 872, 492
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(656, 832) = 34112
GCD(656, 832) = ( 656 x 832 ) / 34112
= 656 / 832
= 656
Step2:
LCM(16, 872) = 1744
GCD(16, 872) = ( 16 x 872 ) / 1744
= 16 / 872
= 16
Step3:
LCM(8, 492) = 984
GCD(8, 492) = ( 8 x 492 ) / 984
= 8 / 492
= 8
So, Greatest Common Divisor of 656, 832, 872, 492 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 656, 832, 872, 492
The greatest common divisor of numbers 656, 832, 872, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 832, 872, 492 is 4.
1. What is the GCD of 656, 832, 872, 492?
GCD of given numbers 656, 832, 872, 492 is 4
2. How to calculate the greatest common divisor of 656, 832, 872, 492?
We can find the highest common divisor of 656, 832, 872, 492 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 656, 832, 872, 492 i.e 4.
3. How can I use the GCD of 656, 832, 872, 492Calculator?
Out the numbers 656, 832, 872, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.