Online GCD Calculator is useful to find the GCD of 738, 432, 60, 392 quickly. Get the easiest ways to solve the greatest common divisor of 738, 432, 60, 392 i.e 2 in different methods as follows.
Given Input numbers are 738, 432, 60, 392
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
GCD of numbers is the greatest common divisor
So, the GCD (738, 432, 60, 392) = 2.
Given numbers are 738, 432, 60, 392
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 60 are 2 x 2 x 3 x 5
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
The highest common occurrence is 21
Therefore, GCD of 738, 432, 60, 392 is 2.
Given numbers are 738, 432, 60, 392
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 432) = 17712
GCD(738, 432) = ( 738 x 432 ) / 17712
= 738 / 432
= 738
Step2:
LCM(18, 60) = 180
GCD(18, 60) = ( 18 x 60 ) / 180
= 18 / 60
= 18
Step3:
LCM(6, 392) = 1176
GCD(6, 392) = ( 6 x 392 ) / 1176
= 6 / 392
= 6
So, Greatest Common Divisor of 738, 432, 60, 392 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 432, 60, 392
The greatest common divisor of numbers 738, 432, 60, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 432, 60, 392 is 2.
1. What is the GCD of 738, 432, 60, 392?
GCD of given numbers 738, 432, 60, 392 is 2
2. How to calculate the greatest common divisor of 738, 432, 60, 392?
We can find the highest common divisor of 738, 432, 60, 392 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 738, 432, 60, 392 i.e 2.
3. How can I use the GCD of 738, 432, 60, 392Calculator?
Out the numbers 738, 432, 60, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.