Online GCD Calculator is useful to find the GCD of 386, 200, 552, 416 quickly. Get the easiest ways to solve the greatest common divisor of 386, 200, 552, 416 i.e 2 in different methods as follows.
Given Input numbers are 386, 200, 552, 416
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 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 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 416 :
The positive integer divisors of 416 that completely divides 416 are.
1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
GCD of numbers is the greatest common divisor
So, the GCD (386, 200, 552, 416) = 2.
Given numbers are 386, 200, 552, 416
The list of prime factors of all numbers are
Prime factors of 386 are 2 x 193
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13
The highest common occurrence is 21
Therefore, GCD of 386, 200, 552, 416 is 2.
Given numbers are 386, 200, 552, 416
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(386, 200) = 38600
GCD(386, 200) = ( 386 x 200 ) / 38600
= 386 / 200
= 386
Step2:
LCM(2, 552) = 552
GCD(2, 552) = ( 2 x 552 ) / 552
= 2 / 552
= 2
Step3:
LCM(2, 416) = 416
GCD(2, 416) = ( 2 x 416 ) / 416
= 2 / 416
= 2
So, Greatest Common Divisor of 386, 200, 552, 416 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 386, 200, 552, 416
The greatest common divisor of numbers 386, 200, 552, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 386, 200, 552, 416 is 2.
1. What is the GCD of 386, 200, 552, 416?
GCD of given numbers 386, 200, 552, 416 is 2
2. How to calculate the greatest common divisor of 386, 200, 552, 416?
We can find the highest common divisor of 386, 200, 552, 416 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, 200, 552, 416 i.e 2.
3. How can I use the GCD of 386, 200, 552, 416Calculator?
Out the numbers 386, 200, 552, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.