Online GCD Calculator is useful to find the GCD of 164, 294, 452, 200 quickly. Get the easiest ways to solve the greatest common divisor of 164, 294, 452, 200 i.e 2 in different methods as follows.
Given Input numbers are 164, 294, 452, 200
In the factoring method, we have to find the divisors of all numbers
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
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 (164, 294, 452, 200) = 2.
Given numbers are 164, 294, 452, 200
The list of prime factors of all numbers are
Prime factors of 164 are 2 x 2 x 41
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 452 are 2 x 2 x 113
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 164, 294, 452, 200 is 2.
Given numbers are 164, 294, 452, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(164, 294) = 24108
GCD(164, 294) = ( 164 x 294 ) / 24108
= 164 / 294
= 164
Step2:
LCM(2, 452) = 452
GCD(2, 452) = ( 2 x 452 ) / 452
= 2 / 452
= 2
Step3:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
So, Greatest Common Divisor of 164, 294, 452, 200 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 164, 294, 452, 200
The greatest common divisor of numbers 164, 294, 452, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 294, 452, 200 is 2.
1. What is the GCD of 164, 294, 452, 200?
GCD of given numbers 164, 294, 452, 200 is 2
2. How to calculate the greatest common divisor of 164, 294, 452, 200?
We can find the highest common divisor of 164, 294, 452, 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 164, 294, 452, 200 i.e 2.
3. How can I use the GCD of 164, 294, 452, 200Calculator?
Out the numbers 164, 294, 452, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.