Online GCD Calculator is useful to find the GCD of 456, 196, 466, 364 quickly. Get the easiest ways to solve the greatest common divisor of 456, 196, 466, 364 i.e 2 in different methods as follows.
Given Input numbers are 456, 196, 466, 364
In the factoring method, we have to find the divisors of all numbers
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 466 :
The positive integer divisors of 466 that completely divides 466 are.
1, 2, 233, 466
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD of numbers is the greatest common divisor
So, the GCD (456, 196, 466, 364) = 2.
Given numbers are 456, 196, 466, 364
The list of prime factors of all numbers are
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 466 are 2 x 233
Prime factors of 364 are 2 x 2 x 7 x 13
The highest common occurrence is 21
Therefore, GCD of 456, 196, 466, 364 is 2.
Given numbers are 456, 196, 466, 364
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(456, 196) = 22344
GCD(456, 196) = ( 456 x 196 ) / 22344
= 456 / 196
= 456
Step2:
LCM(4, 466) = 932
GCD(4, 466) = ( 4 x 466 ) / 932
= 4 / 466
= 4
Step3:
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
= 2 / 364
= 2
So, Greatest Common Divisor of 456, 196, 466, 364 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 456, 196, 466, 364
The greatest common divisor of numbers 456, 196, 466, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 196, 466, 364 is 2.
1. What is the GCD of 456, 196, 466, 364?
GCD of given numbers 456, 196, 466, 364 is 2
2. How to calculate the greatest common divisor of 456, 196, 466, 364?
We can find the highest common divisor of 456, 196, 466, 364 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 456, 196, 466, 364 i.e 2.
3. How can I use the GCD of 456, 196, 466, 364Calculator?
Out the numbers 456, 196, 466, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.