Online GCD Calculator is useful to find the GCD of 738, 697, 257, 997 quickly. Get the easiest ways to solve the greatest common divisor of 738, 697, 257, 997 i.e 1 in different methods as follows.
Given Input numbers are 738, 697, 257, 997
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 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 257 :
The positive integer divisors of 257 that completely divides 257 are.
1, 257
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
GCD of numbers is the greatest common divisor
So, the GCD (738, 697, 257, 997) = 1.
Given numbers are 738, 697, 257, 997
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 697 are 17 x 41
Prime factors of 257 are 257
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 738, 697, 257, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 697) = 12546
GCD(738, 697) = ( 738 x 697 ) / 12546
= 738 / 697
= 738
Step2:
LCM(41, 257) = 10537
GCD(41, 257) = ( 41 x 257 ) / 10537
= 41 / 257
= 41
Step3:
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
= 1 / 997
= 1
So, Greatest Common Divisor of 738, 697, 257, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 697, 257, 997
The greatest common divisor of numbers 738, 697, 257, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 697, 257, 997 is 1.
1. What is the GCD of 738, 697, 257, 997?
GCD of given numbers 738, 697, 257, 997 is 1
2. How to calculate the greatest common divisor of 738, 697, 257, 997?
We can find the highest common divisor of 738, 697, 257, 997 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, 697, 257, 997 i.e 1.
3. How can I use the GCD of 738, 697, 257, 997Calculator?
Out the numbers 738, 697, 257, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.