Online GCD Calculator is useful to find the GCD of 386, 968, 586, 200 quickly. Get the easiest ways to solve the greatest common divisor of 386, 968, 586, 200 i.e 2 in different methods as follows.
Given Input numbers are 386, 968, 586, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
Divisors of 968 :
The positive integer divisors of 968 that completely divides 968 are.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Divisors of 586 :
The positive integer divisors of 586 that completely divides 586 are.
1, 2, 293, 586
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
GCD of numbers is the greatest common divisor
So, the GCD (386, 968, 586, 200) = 2.
Given numbers are 386, 968, 586, 200
The list of prime factors of all numbers are
Prime factors of 386 are 2 x 193
Prime factors of 968 are 2 x 2 x 2 x 11 x 11
Prime factors of 586 are 2 x 293
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 386, 968, 586, 200 is 2.
Given numbers are 386, 968, 586, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(386, 968) = 186824
GCD(386, 968) = ( 386 x 968 ) / 186824
= 386 / 968
= 386
Step2:
LCM(2, 586) = 586
GCD(2, 586) = ( 2 x 586 ) / 586
= 2 / 586
= 2
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 386, 968, 586, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 386, 968, 586, 200
The greatest common divisor of numbers 386, 968, 586, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 386, 968, 586, 200 is 2.
1. What is the GCD of 386, 968, 586, 200?
GCD of given numbers 386, 968, 586, 200 is 2
2. How to calculate the greatest common divisor of 386, 968, 586, 200?
We can find the highest common divisor of 386, 968, 586, 200 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 386, 968, 586, 200 i.e 2.
3. How can I use the GCD of 386, 968, 586, 200Calculator?
Out the numbers 386, 968, 586, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.