Online GCD Calculator is useful to find the GCD of 208, 334, 850, 728 quickly. Get the easiest ways to solve the greatest common divisor of 208, 334, 850, 728 i.e 2 in different methods as follows.
Given Input numbers are 208, 334, 850, 728
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 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
GCD of numbers is the greatest common divisor
So, the GCD (208, 334, 850, 728) = 2.
Given numbers are 208, 334, 850, 728
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 334 are 2 x 167
Prime factors of 850 are 2 x 5 x 5 x 17
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 208, 334, 850, 728 is 2.
Given numbers are 208, 334, 850, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(208, 334) = 34736
GCD(208, 334) = ( 208 x 334 ) / 34736
= 208 / 334
= 208
Step2:
LCM(2, 850) = 850
GCD(2, 850) = ( 2 x 850 ) / 850
= 2 / 850
= 2
Step3:
LCM(2, 728) = 728
GCD(2, 728) = ( 2 x 728 ) / 728
= 2 / 728
= 2
So, Greatest Common Divisor of 208, 334, 850, 728 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 208, 334, 850, 728
The greatest common divisor of numbers 208, 334, 850, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 334, 850, 728 is 2.
1. What is the GCD of 208, 334, 850, 728?
GCD of given numbers 208, 334, 850, 728 is 2
2. How to calculate the greatest common divisor of 208, 334, 850, 728?
We can find the highest common divisor of 208, 334, 850, 728 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, 334, 850, 728 i.e 2.
3. How can I use the GCD of 208, 334, 850, 728Calculator?
Out the numbers 208, 334, 850, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.