Online GCD Calculator is useful to find the GCD of 738, 614, 997, 718 quickly. Get the easiest ways to solve the greatest common divisor of 738, 614, 997, 718 i.e 1 in different methods as follows.
Given Input numbers are 738, 614, 997, 718
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 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
Divisors of 718 :
The positive integer divisors of 718 that completely divides 718 are.
1, 2, 359, 718
GCD of numbers is the greatest common divisor
So, the GCD (738, 614, 997, 718) = 1.
Given numbers are 738, 614, 997, 718
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 614 are 2 x 307
Prime factors of 997 are 997
Prime factors of 718 are 2 x 359
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 738, 614, 997, 718
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 614) = 226566
GCD(738, 614) = ( 738 x 614 ) / 226566
= 738 / 614
= 738
Step2:
LCM(2, 997) = 1994
GCD(2, 997) = ( 2 x 997 ) / 1994
= 2 / 997
= 2
Step3:
LCM(1, 718) = 718
GCD(1, 718) = ( 1 x 718 ) / 718
= 1 / 718
= 1
So, Greatest Common Divisor of 738, 614, 997, 718 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 614, 997, 718
The greatest common divisor of numbers 738, 614, 997, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 614, 997, 718 is 1.
1. What is the GCD of 738, 614, 997, 718?
GCD of given numbers 738, 614, 997, 718 is 1
2. How to calculate the greatest common divisor of 738, 614, 997, 718?
We can find the highest common divisor of 738, 614, 997, 718 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, 614, 997, 718 i.e 1.
3. How can I use the GCD of 738, 614, 997, 718Calculator?
Out the numbers 738, 614, 997, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.