Online GCD Calculator is useful to find the GCD of 732, 288, 176, 336 quickly. Get the easiest ways to solve the greatest common divisor of 732, 288, 176, 336 i.e 4 in different methods as follows.
Given Input numbers are 732, 288, 176, 336
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 288 :
The positive integer divisors of 288 that completely divides 288 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (732, 288, 176, 336) = 4.
Given numbers are 732, 288, 176, 336
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 732, 288, 176, 336 is 4.
Given numbers are 732, 288, 176, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 288) = 17568
GCD(732, 288) = ( 732 x 288 ) / 17568
= 732 / 288
= 732
Step2:
LCM(12, 176) = 528
GCD(12, 176) = ( 12 x 176 ) / 528
= 12 / 176
= 12
Step3:
LCM(4, 336) = 336
GCD(4, 336) = ( 4 x 336 ) / 336
= 4 / 336
= 4
So, Greatest Common Divisor of 732, 288, 176, 336 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 732, 288, 176, 336
The greatest common divisor of numbers 732, 288, 176, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 288, 176, 336 is 4.
1. What is the GCD of 732, 288, 176, 336?
GCD of given numbers 732, 288, 176, 336 is 4
2. How to calculate the greatest common divisor of 732, 288, 176, 336?
We can find the highest common divisor of 732, 288, 176, 336 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, 288, 176, 336 i.e 4.
3. How can I use the GCD of 732, 288, 176, 336Calculator?
Out the numbers 732, 288, 176, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.