Online GCD Calculator is useful to find the GCD of 917, 357, 580, 738 quickly. Get the easiest ways to solve the greatest common divisor of 917, 357, 580, 738 i.e 1 in different methods as follows.
Given Input numbers are 917, 357, 580, 738
In the factoring method, we have to find the divisors of all numbers
Divisors of 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 580 :
The positive integer divisors of 580 that completely divides 580 are.
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
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
GCD of numbers is the greatest common divisor
So, the GCD (917, 357, 580, 738) = 1.
Given numbers are 917, 357, 580, 738
The list of prime factors of all numbers are
Prime factors of 917 are 7 x 131
Prime factors of 357 are 3 x 7 x 17
Prime factors of 580 are 2 x 2 x 5 x 29
Prime factors of 738 are 2 x 3 x 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 917, 357, 580, 738
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(917, 357) = 46767
GCD(917, 357) = ( 917 x 357 ) / 46767
= 917 / 357
= 917
Step2:
LCM(7, 580) = 4060
GCD(7, 580) = ( 7 x 580 ) / 4060
= 7 / 580
= 7
Step3:
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
= 1 / 738
= 1
So, Greatest Common Divisor of 917, 357, 580, 738 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 917, 357, 580, 738
The greatest common divisor of numbers 917, 357, 580, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 357, 580, 738 is 1.
1. What is the GCD of 917, 357, 580, 738?
GCD of given numbers 917, 357, 580, 738 is 1
2. How to calculate the greatest common divisor of 917, 357, 580, 738?
We can find the highest common divisor of 917, 357, 580, 738 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 917, 357, 580, 738 i.e 1.
3. How can I use the GCD of 917, 357, 580, 738Calculator?
Out the numbers 917, 357, 580, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.