Online GCD Calculator is useful to find the GCD of 732, 366, 724, 322 quickly. Get the easiest ways to solve the greatest common divisor of 732, 366, 724, 322 i.e 2 in different methods as follows.
Given Input numbers are 732, 366, 724, 322
In the factoring method, we have to find the divisors of all numbers
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 366 :
The positive integer divisors of 366 that completely divides 366 are.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 322 :
The positive integer divisors of 322 that completely divides 322 are.
1, 2, 7, 14, 23, 46, 161, 322
GCD of numbers is the greatest common divisor
So, the GCD (732, 366, 724, 322) = 2.
Given numbers are 732, 366, 724, 322
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 366 are 2 x 3 x 61
Prime factors of 724 are 2 x 2 x 181
Prime factors of 322 are 2 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 732, 366, 724, 322 is 2.
Given numbers are 732, 366, 724, 322
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 366) = 732
GCD(732, 366) = ( 732 x 366 ) / 732
= 732 / 366
= 732
Step2:
LCM(366, 724) = 132492
GCD(366, 724) = ( 366 x 724 ) / 132492
= 366 / 724
= 366
Step3:
LCM(2, 322) = 322
GCD(2, 322) = ( 2 x 322 ) / 322
= 2 / 322
= 2
So, Greatest Common Divisor of 732, 366, 724, 322 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 732, 366, 724, 322
The greatest common divisor of numbers 732, 366, 724, 322 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 366, 724, 322 is 2.
1. What is the GCD of 732, 366, 724, 322?
GCD of given numbers 732, 366, 724, 322 is 2
2. How to calculate the greatest common divisor of 732, 366, 724, 322?
We can find the highest common divisor of 732, 366, 724, 322 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 732, 366, 724, 322 i.e 2.
3. How can I use the GCD of 732, 366, 724, 322Calculator?
Out the numbers 732, 366, 724, 322 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.