Online GCD Calculator is useful to find the GCD of 664, 646, 998, 334 quickly. Get the easiest ways to solve the greatest common divisor of 664, 646, 998, 334 i.e 2 in different methods as follows.
Given Input numbers are 664, 646, 998, 334
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 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
GCD of numbers is the greatest common divisor
So, the GCD (664, 646, 998, 334) = 2.
Given numbers are 664, 646, 998, 334
The list of prime factors of all numbers are
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 646 are 2 x 17 x 19
Prime factors of 998 are 2 x 499
Prime factors of 334 are 2 x 167
The highest common occurrence is 21
Therefore, GCD of 664, 646, 998, 334 is 2.
Given numbers are 664, 646, 998, 334
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(664, 646) = 214472
GCD(664, 646) = ( 664 x 646 ) / 214472
= 664 / 646
= 664
Step2:
LCM(2, 998) = 998
GCD(2, 998) = ( 2 x 998 ) / 998
= 2 / 998
= 2
Step3:
LCM(2, 334) = 334
GCD(2, 334) = ( 2 x 334 ) / 334
= 2 / 334
= 2
So, Greatest Common Divisor of 664, 646, 998, 334 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 664, 646, 998, 334
The greatest common divisor of numbers 664, 646, 998, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 646, 998, 334 is 2.
1. What is the GCD of 664, 646, 998, 334?
GCD of given numbers 664, 646, 998, 334 is 2
2. How to calculate the greatest common divisor of 664, 646, 998, 334?
We can find the highest common divisor of 664, 646, 998, 334 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, 646, 998, 334 i.e 2.
3. How can I use the GCD of 664, 646, 998, 334Calculator?
Out the numbers 664, 646, 998, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.