Online GCD Calculator is useful to find the GCD of 364, 640, 808, 220 quickly. Get the easiest ways to solve the greatest common divisor of 364, 640, 808, 220 i.e 4 in different methods as follows.
Given Input numbers are 364, 640, 808, 220
In the factoring method, we have to find the divisors of all numbers
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
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 808 :
The positive integer divisors of 808 that completely divides 808 are.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
GCD of numbers is the greatest common divisor
So, the GCD (364, 640, 808, 220) = 4.
Given numbers are 364, 640, 808, 220
The list of prime factors of all numbers are
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 808 are 2 x 2 x 2 x 101
Prime factors of 220 are 2 x 2 x 5 x 11
The highest common occurrence is 22
Therefore, GCD of 364, 640, 808, 220 is 4.
Given numbers are 364, 640, 808, 220
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(364, 640) = 58240
GCD(364, 640) = ( 364 x 640 ) / 58240
= 364 / 640
= 364
Step2:
LCM(4, 808) = 808
GCD(4, 808) = ( 4 x 808 ) / 808
= 4 / 808
= 4
Step3:
LCM(4, 220) = 220
GCD(4, 220) = ( 4 x 220 ) / 220
= 4 / 220
= 4
So, Greatest Common Divisor of 364, 640, 808, 220 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 364, 640, 808, 220
The greatest common divisor of numbers 364, 640, 808, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 640, 808, 220 is 4.
1. What is the GCD of 364, 640, 808, 220?
GCD of given numbers 364, 640, 808, 220 is 4
2. How to calculate the greatest common divisor of 364, 640, 808, 220?
We can find the highest common divisor of 364, 640, 808, 220 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 364, 640, 808, 220 i.e 4.
3. How can I use the GCD of 364, 640, 808, 220Calculator?
Out the numbers 364, 640, 808, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.