Online GCD Calculator is useful to find the GCD of 656, 376, 924, 438 quickly. Get the easiest ways to solve the greatest common divisor of 656, 376, 924, 438 i.e 2 in different methods as follows.
Given Input numbers are 656, 376, 924, 438
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 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
GCD of numbers is the greatest common divisor
So, the GCD (656, 376, 924, 438) = 2.
Given numbers are 656, 376, 924, 438
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 376 are 2 x 2 x 2 x 47
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 21
Therefore, GCD of 656, 376, 924, 438 is 2.
Given numbers are 656, 376, 924, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(656, 376) = 30832
GCD(656, 376) = ( 656 x 376 ) / 30832
= 656 / 376
= 656
Step2:
LCM(8, 924) = 1848
GCD(8, 924) = ( 8 x 924 ) / 1848
= 8 / 924
= 8
Step3:
LCM(4, 438) = 876
GCD(4, 438) = ( 4 x 438 ) / 876
= 4 / 438
= 4
So, Greatest Common Divisor of 656, 376, 924, 438 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 656, 376, 924, 438
The greatest common divisor of numbers 656, 376, 924, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 656, 376, 924, 438 is 2.
1. What is the GCD of 656, 376, 924, 438?
GCD of given numbers 656, 376, 924, 438 is 2
2. How to calculate the greatest common divisor of 656, 376, 924, 438?
We can find the highest common divisor of 656, 376, 924, 438 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, 376, 924, 438 i.e 2.
3. How can I use the GCD of 656, 376, 924, 438Calculator?
Out the numbers 656, 376, 924, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.