Online GCD Calculator is useful to find the GCD of 660, 342, 498, 208 quickly. Get the easiest ways to solve the greatest common divisor of 660, 342, 498, 208 i.e 2 in different methods as follows.
Given Input numbers are 660, 342, 498, 208
In the factoring method, we have to find the divisors of all numbers
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 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 498 :
The positive integer divisors of 498 that completely divides 498 are.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD of numbers is the greatest common divisor
So, the GCD (660, 342, 498, 208) = 2.
Given numbers are 660, 342, 498, 208
The list of prime factors of all numbers are
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 498 are 2 x 3 x 83
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
The highest common occurrence is 21
Therefore, GCD of 660, 342, 498, 208 is 2.
Given numbers are 660, 342, 498, 208
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(660, 342) = 37620
GCD(660, 342) = ( 660 x 342 ) / 37620
= 660 / 342
= 660
Step2:
LCM(6, 498) = 498
GCD(6, 498) = ( 6 x 498 ) / 498
= 6 / 498
= 6
Step3:
LCM(6, 208) = 624
GCD(6, 208) = ( 6 x 208 ) / 624
= 6 / 208
= 6
So, Greatest Common Divisor of 660, 342, 498, 208 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 660, 342, 498, 208
The greatest common divisor of numbers 660, 342, 498, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 342, 498, 208 is 2.
1. What is the GCD of 660, 342, 498, 208?
GCD of given numbers 660, 342, 498, 208 is 2
2. How to calculate the greatest common divisor of 660, 342, 498, 208?
We can find the highest common divisor of 660, 342, 498, 208 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 660, 342, 498, 208 i.e 2.
3. How can I use the GCD of 660, 342, 498, 208Calculator?
Out the numbers 660, 342, 498, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.