Online GCD Calculator is useful to find the GCD of 328, 282, 364, 745 quickly. Get the easiest ways to solve the greatest common divisor of 328, 282, 364, 745 i.e 1 in different methods as follows.
Given Input numbers are 328, 282, 364, 745
In the factoring method, we have to find the divisors of all numbers
Divisors of 328 :
The positive integer divisors of 328 that completely divides 328 are.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 282 :
The positive integer divisors of 282 that completely divides 282 are.
1, 2, 3, 6, 47, 94, 141, 282
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
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
GCD of numbers is the greatest common divisor
So, the GCD (328, 282, 364, 745) = 1.
Given numbers are 328, 282, 364, 745
The list of prime factors of all numbers are
Prime factors of 328 are 2 x 2 x 2 x 41
Prime factors of 282 are 2 x 3 x 47
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 745 are 5 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 328, 282, 364, 745
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(328, 282) = 46248
GCD(328, 282) = ( 328 x 282 ) / 46248
= 328 / 282
= 328
Step2:
LCM(2, 364) = 364
GCD(2, 364) = ( 2 x 364 ) / 364
= 2 / 364
= 2
Step3:
LCM(2, 745) = 1490
GCD(2, 745) = ( 2 x 745 ) / 1490
= 2 / 745
= 2
So, Greatest Common Divisor of 328, 282, 364, 745 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 328, 282, 364, 745
The greatest common divisor of numbers 328, 282, 364, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 328, 282, 364, 745 is 1.
1. What is the GCD of 328, 282, 364, 745?
GCD of given numbers 328, 282, 364, 745 is 1
2. How to calculate the greatest common divisor of 328, 282, 364, 745?
We can find the highest common divisor of 328, 282, 364, 745 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 328, 282, 364, 745 i.e 1.
3. How can I use the GCD of 328, 282, 364, 745Calculator?
Out the numbers 328, 282, 364, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.