Online GCD Calculator is useful to find the GCD of 362, 434, 328, 252 quickly. Get the easiest ways to solve the greatest common divisor of 362, 434, 328, 252 i.e 2 in different methods as follows.
Given Input numbers are 362, 434, 328, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 328 :
The positive integer divisors of 328 that completely divides 328 are.
1, 2, 4, 8, 41, 82, 164, 328
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
GCD of numbers is the greatest common divisor
So, the GCD (362, 434, 328, 252) = 2.
Given numbers are 362, 434, 328, 252
The list of prime factors of all numbers are
Prime factors of 362 are 2 x 181
Prime factors of 434 are 2 x 7 x 31
Prime factors of 328 are 2 x 2 x 2 x 41
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 362, 434, 328, 252 is 2.
Given numbers are 362, 434, 328, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(362, 434) = 78554
GCD(362, 434) = ( 362 x 434 ) / 78554
= 362 / 434
= 362
Step2:
LCM(2, 328) = 328
GCD(2, 328) = ( 2 x 328 ) / 328
= 2 / 328
= 2
Step3:
LCM(2, 252) = 252
GCD(2, 252) = ( 2 x 252 ) / 252
= 2 / 252
= 2
So, Greatest Common Divisor of 362, 434, 328, 252 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 362, 434, 328, 252
The greatest common divisor of numbers 362, 434, 328, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 434, 328, 252 is 2.
1. What is the GCD of 362, 434, 328, 252?
GCD of given numbers 362, 434, 328, 252 is 2
2. How to calculate the greatest common divisor of 362, 434, 328, 252?
We can find the highest common divisor of 362, 434, 328, 252 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 362, 434, 328, 252 i.e 2.
3. How can I use the GCD of 362, 434, 328, 252Calculator?
Out the numbers 362, 434, 328, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.