Online GCD Calculator is useful to find the GCD of 434, 252, 964, 232 quickly. Get the easiest ways to solve the greatest common divisor of 434, 252, 964, 232 i.e 2 in different methods as follows.
Given Input numbers are 434, 252, 964, 232
In the factoring method, we have to find the divisors of all numbers
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 232 :
The positive integer divisors of 232 that completely divides 232 are.
1, 2, 4, 8, 29, 58, 116, 232
GCD of numbers is the greatest common divisor
So, the GCD (434, 252, 964, 232) = 2.
Given numbers are 434, 252, 964, 232
The list of prime factors of all numbers are
Prime factors of 434 are 2 x 7 x 31
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 964 are 2 x 2 x 241
Prime factors of 232 are 2 x 2 x 2 x 29
The highest common occurrence is 21
Therefore, GCD of 434, 252, 964, 232 is 2.
Given numbers are 434, 252, 964, 232
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(434, 252) = 7812
GCD(434, 252) = ( 434 x 252 ) / 7812
= 434 / 252
= 434
Step2:
LCM(14, 964) = 6748
GCD(14, 964) = ( 14 x 964 ) / 6748
= 14 / 964
= 14
Step3:
LCM(2, 232) = 232
GCD(2, 232) = ( 2 x 232 ) / 232
= 2 / 232
= 2
So, Greatest Common Divisor of 434, 252, 964, 232 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 434, 252, 964, 232
The greatest common divisor of numbers 434, 252, 964, 232 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 252, 964, 232 is 2.
1. What is the GCD of 434, 252, 964, 232?
GCD of given numbers 434, 252, 964, 232 is 2
2. How to calculate the greatest common divisor of 434, 252, 964, 232?
We can find the highest common divisor of 434, 252, 964, 232 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 434, 252, 964, 232 i.e 2.
3. How can I use the GCD of 434, 252, 964, 232Calculator?
Out the numbers 434, 252, 964, 232 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.