Online GCD Calculator is useful to find the GCD of 208, 160, 660, 248 quickly. Get the easiest ways to solve the greatest common divisor of 208, 160, 660, 248 i.e 4 in different methods as follows.
Given Input numbers are 208, 160, 660, 248
In the factoring method, we have to find the divisors of all numbers
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
GCD of numbers is the greatest common divisor
So, the GCD (208, 160, 660, 248) = 4.
Given numbers are 208, 160, 660, 248
The list of prime factors of all numbers are
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 248 are 2 x 2 x 2 x 31
The highest common occurrence is 22
Therefore, GCD of 208, 160, 660, 248 is 4.
Given numbers are 208, 160, 660, 248
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(208, 160) = 2080
GCD(208, 160) = ( 208 x 160 ) / 2080
= 208 / 160
= 208
Step2:
LCM(16, 660) = 2640
GCD(16, 660) = ( 16 x 660 ) / 2640
= 16 / 660
= 16
Step3:
LCM(4, 248) = 248
GCD(4, 248) = ( 4 x 248 ) / 248
= 4 / 248
= 4
So, Greatest Common Divisor of 208, 160, 660, 248 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 208, 160, 660, 248
The greatest common divisor of numbers 208, 160, 660, 248 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 160, 660, 248 is 4.
1. What is the GCD of 208, 160, 660, 248?
GCD of given numbers 208, 160, 660, 248 is 4
2. How to calculate the greatest common divisor of 208, 160, 660, 248?
We can find the highest common divisor of 208, 160, 660, 248 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 208, 160, 660, 248 i.e 4.
3. How can I use the GCD of 208, 160, 660, 248Calculator?
Out the numbers 208, 160, 660, 248 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.