Online GCD Calculator is useful to find the GCD of 680, 442, 166, 512 quickly. Get the easiest ways to solve the greatest common divisor of 680, 442, 166, 512 i.e 2 in different methods as follows.
Given Input numbers are 680, 442, 166, 512
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 166 :
The positive integer divisors of 166 that completely divides 166 are.
1, 2, 83, 166
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
GCD of numbers is the greatest common divisor
So, the GCD (680, 442, 166, 512) = 2.
Given numbers are 680, 442, 166, 512
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 442 are 2 x 13 x 17
Prime factors of 166 are 2 x 83
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
The highest common occurrence is 21
Therefore, GCD of 680, 442, 166, 512 is 2.
Given numbers are 680, 442, 166, 512
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 442) = 8840
GCD(680, 442) = ( 680 x 442 ) / 8840
= 680 / 442
= 680
Step2:
LCM(34, 166) = 2822
GCD(34, 166) = ( 34 x 166 ) / 2822
= 34 / 166
= 34
Step3:
LCM(2, 512) = 512
GCD(2, 512) = ( 2 x 512 ) / 512
= 2 / 512
= 2
So, Greatest Common Divisor of 680, 442, 166, 512 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 442, 166, 512
The greatest common divisor of numbers 680, 442, 166, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 442, 166, 512 is 2.
1. What is the GCD of 680, 442, 166, 512?
GCD of given numbers 680, 442, 166, 512 is 2
2. How to calculate the greatest common divisor of 680, 442, 166, 512?
We can find the highest common divisor of 680, 442, 166, 512 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 680, 442, 166, 512 i.e 2.
3. How can I use the GCD of 680, 442, 166, 512Calculator?
Out the numbers 680, 442, 166, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.