Online GCD Calculator is useful to find the GCD of 664, 640, 580, 422 quickly. Get the easiest ways to solve the greatest common divisor of 664, 640, 580, 422 i.e 2 in different methods as follows.
Given Input numbers are 664, 640, 580, 422
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 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (664, 640, 580, 422) = 2.
Given numbers are 664, 640, 580, 422
The list of prime factors of all numbers are
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 422 are 2 x 211
The highest common occurrence is 21
Therefore, GCD of 664, 640, 580, 422 is 2.
Given numbers are 664, 640, 580, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(664, 640) = 53120
GCD(664, 640) = ( 664 x 640 ) / 53120
= 664 / 640
= 664
Step2:
LCM(8, 580) = 1160
GCD(8, 580) = ( 8 x 580 ) / 1160
= 8 / 580
= 8
Step3:
LCM(4, 422) = 844
GCD(4, 422) = ( 4 x 422 ) / 844
= 4 / 422
= 4
So, Greatest Common Divisor of 664, 640, 580, 422 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 664, 640, 580, 422
The greatest common divisor of numbers 664, 640, 580, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 664, 640, 580, 422 is 2.
1. What is the GCD of 664, 640, 580, 422?
GCD of given numbers 664, 640, 580, 422 is 2
2. How to calculate the greatest common divisor of 664, 640, 580, 422?
We can find the highest common divisor of 664, 640, 580, 422 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, 640, 580, 422 i.e 2.
3. How can I use the GCD of 664, 640, 580, 422Calculator?
Out the numbers 664, 640, 580, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.