Online GCD Calculator is useful to find the GCD of 732, 326, 638, 172 quickly. Get the easiest ways to solve the greatest common divisor of 732, 326, 638, 172 i.e 2 in different methods as follows.
Given Input numbers are 732, 326, 638, 172
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 326 :
The positive integer divisors of 326 that completely divides 326 are.
1, 2, 163, 326
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
GCD of numbers is the greatest common divisor
So, the GCD (732, 326, 638, 172) = 2.
Given numbers are 732, 326, 638, 172
The list of prime factors of all numbers are
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 326 are 2 x 163
Prime factors of 638 are 2 x 11 x 29
Prime factors of 172 are 2 x 2 x 43
The highest common occurrence is 21
Therefore, GCD of 732, 326, 638, 172 is 2.
Given numbers are 732, 326, 638, 172
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(732, 326) = 119316
GCD(732, 326) = ( 732 x 326 ) / 119316
= 732 / 326
= 732
Step2:
LCM(2, 638) = 638
GCD(2, 638) = ( 2 x 638 ) / 638
= 2 / 638
= 2
Step3:
LCM(2, 172) = 172
GCD(2, 172) = ( 2 x 172 ) / 172
= 2 / 172
= 2
So, Greatest Common Divisor of 732, 326, 638, 172 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 732, 326, 638, 172
The greatest common divisor of numbers 732, 326, 638, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 326, 638, 172 is 2.
1. What is the GCD of 732, 326, 638, 172?
GCD of given numbers 732, 326, 638, 172 is 2
2. How to calculate the greatest common divisor of 732, 326, 638, 172?
We can find the highest common divisor of 732, 326, 638, 172 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, 326, 638, 172 i.e 2.
3. How can I use the GCD of 732, 326, 638, 172Calculator?
Out the numbers 732, 326, 638, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.