Online GCD Calculator is useful to find the GCD of 622, 736, 684, 200 quickly. Get the easiest ways to solve the greatest common divisor of 622, 736, 684, 200 i.e 2 in different methods as follows.
Given Input numbers are 622, 736, 684, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 622 :
The positive integer divisors of 622 that completely divides 622 are.
1, 2, 311, 622
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
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 (622, 736, 684, 200) = 2.
Given numbers are 622, 736, 684, 200
The list of prime factors of all numbers are
Prime factors of 622 are 2 x 311
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 622, 736, 684, 200 is 2.
Given numbers are 622, 736, 684, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(622, 736) = 228896
GCD(622, 736) = ( 622 x 736 ) / 228896
= 622 / 736
= 622
Step2:
LCM(2, 684) = 684
GCD(2, 684) = ( 2 x 684 ) / 684
= 2 / 684
= 2
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 622, 736, 684, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 622, 736, 684, 200
The greatest common divisor of numbers 622, 736, 684, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 622, 736, 684, 200 is 2.
1. What is the GCD of 622, 736, 684, 200?
GCD of given numbers 622, 736, 684, 200 is 2
2. How to calculate the greatest common divisor of 622, 736, 684, 200?
We can find the highest common divisor of 622, 736, 684, 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 622, 736, 684, 200 i.e 2.
3. How can I use the GCD of 622, 736, 684, 200Calculator?
Out the numbers 622, 736, 684, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.