Online GCD Calculator is useful to find the GCD of 664, 634, 488, 268 quickly. Get the easiest ways to solve the greatest common divisor of 664, 634, 488, 268 i.e 2 in different methods as follows.
Given Input numbers are 664, 634, 488, 268
In the factoring method, we have to find the divisors of all numbers
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
GCD of numbers is the greatest common divisor
So, the GCD (664, 634, 488, 268) = 2.
Given numbers are 664, 634, 488, 268
The list of prime factors of all numbers are
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 634 are 2 x 317
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 268 are 2 x 2 x 67
The highest common occurrence is 21
Therefore, GCD of 664, 634, 488, 268 is 2.
Given numbers are 664, 634, 488, 268
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(664, 634) = 210488
GCD(664, 634) = ( 664 x 634 ) / 210488
= 664 / 634
= 664
Step2:
LCM(2, 488) = 488
GCD(2, 488) = ( 2 x 488 ) / 488
= 2 / 488
= 2
Step3:
LCM(2, 268) = 268
GCD(2, 268) = ( 2 x 268 ) / 268
= 2 / 268
= 2
So, Greatest Common Divisor of 664, 634, 488, 268 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 664, 634, 488, 268
The greatest common divisor of numbers 664, 634, 488, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 634, 488, 268 is 2.
1. What is the GCD of 664, 634, 488, 268?
GCD of given numbers 664, 634, 488, 268 is 2
2. How to calculate the greatest common divisor of 664, 634, 488, 268?
We can find the highest common divisor of 664, 634, 488, 268 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 664, 634, 488, 268 i.e 2.
3. How can I use the GCD of 664, 634, 488, 268Calculator?
Out the numbers 664, 634, 488, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.