Online GCD Calculator is useful to find the GCD of 738, 414, 936, 493 quickly. Get the easiest ways to solve the greatest common divisor of 738, 414, 936, 493 i.e 1 in different methods as follows.
Given Input numbers are 738, 414, 936, 493
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 414 :
The positive integer divisors of 414 that completely divides 414 are.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 936 :
The positive integer divisors of 936 that completely divides 936 are.
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
Divisors of 493 :
The positive integer divisors of 493 that completely divides 493 are.
1, 17, 29, 493
GCD of numbers is the greatest common divisor
So, the GCD (738, 414, 936, 493) = 1.
Given numbers are 738, 414, 936, 493
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 414 are 2 x 3 x 3 x 23
Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13
Prime factors of 493 are 17 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 738, 414, 936, 493
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 414) = 16974
GCD(738, 414) = ( 738 x 414 ) / 16974
= 738 / 414
= 738
Step2:
LCM(18, 936) = 936
GCD(18, 936) = ( 18 x 936 ) / 936
= 18 / 936
= 18
Step3:
LCM(18, 493) = 8874
GCD(18, 493) = ( 18 x 493 ) / 8874
= 18 / 493
= 18
So, Greatest Common Divisor of 738, 414, 936, 493 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 414, 936, 493
The greatest common divisor of numbers 738, 414, 936, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 414, 936, 493 is 1.
1. What is the GCD of 738, 414, 936, 493?
GCD of given numbers 738, 414, 936, 493 is 1
2. How to calculate the greatest common divisor of 738, 414, 936, 493?
We can find the highest common divisor of 738, 414, 936, 493 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, 414, 936, 493 i.e 1.
3. How can I use the GCD of 738, 414, 936, 493Calculator?
Out the numbers 738, 414, 936, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.