Online GCD Calculator is useful to find the GCD of 208, 588, 136, 850 quickly. Get the easiest ways to solve the greatest common divisor of 208, 588, 136, 850 i.e 2 in different methods as follows.
Given Input numbers are 208, 588, 136, 850
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 588 :
The positive integer divisors of 588 that completely divides 588 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
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
GCD of numbers is the greatest common divisor
So, the GCD (208, 588, 136, 850) = 2.
Given numbers are 208, 588, 136, 850
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 588 are 2 x 2 x 3 x 7 x 7
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 850 are 2 x 5 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 208, 588, 136, 850 is 2.
Given numbers are 208, 588, 136, 850
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(208, 588) = 30576
GCD(208, 588) = ( 208 x 588 ) / 30576
= 208 / 588
= 208
Step2:
LCM(4, 136) = 136
GCD(4, 136) = ( 4 x 136 ) / 136
= 4 / 136
= 4
Step3:
LCM(4, 850) = 1700
GCD(4, 850) = ( 4 x 850 ) / 1700
= 4 / 850
= 4
So, Greatest Common Divisor of 208, 588, 136, 850 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 208, 588, 136, 850
The greatest common divisor of numbers 208, 588, 136, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 588, 136, 850 is 2.
1. What is the GCD of 208, 588, 136, 850?
GCD of given numbers 208, 588, 136, 850 is 2
2. How to calculate the greatest common divisor of 208, 588, 136, 850?
We can find the highest common divisor of 208, 588, 136, 850 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, 588, 136, 850 i.e 2.
3. How can I use the GCD of 208, 588, 136, 850Calculator?
Out the numbers 208, 588, 136, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.