Online GCD Calculator is useful to find the GCD of 908, 210, 200, 516 quickly. Get the easiest ways to solve the greatest common divisor of 908, 210, 200, 516 i.e 2 in different methods as follows.
Given Input numbers are 908, 210, 200, 516
In the factoring method, we have to find the divisors of all numbers
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 516 :
The positive integer divisors of 516 that completely divides 516 are.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
GCD of numbers is the greatest common divisor
So, the GCD (908, 210, 200, 516) = 2.
Given numbers are 908, 210, 200, 516
The list of prime factors of all numbers are
Prime factors of 908 are 2 x 2 x 227
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 516 are 2 x 2 x 3 x 43
The highest common occurrence is 21
Therefore, GCD of 908, 210, 200, 516 is 2.
Given numbers are 908, 210, 200, 516
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(908, 210) = 95340
GCD(908, 210) = ( 908 x 210 ) / 95340
= 908 / 210
= 908
Step2:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
Step3:
LCM(2, 516) = 516
GCD(2, 516) = ( 2 x 516 ) / 516
= 2 / 516
= 2
So, Greatest Common Divisor of 908, 210, 200, 516 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 908, 210, 200, 516
The greatest common divisor of numbers 908, 210, 200, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 210, 200, 516 is 2.
1. What is the GCD of 908, 210, 200, 516?
GCD of given numbers 908, 210, 200, 516 is 2
2. How to calculate the greatest common divisor of 908, 210, 200, 516?
We can find the highest common divisor of 908, 210, 200, 516 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 908, 210, 200, 516 i.e 2.
3. How can I use the GCD of 908, 210, 200, 516Calculator?
Out the numbers 908, 210, 200, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.