Online GCD Calculator is useful to find the GCD of 749, 243, 864, 317 quickly. Get the easiest ways to solve the greatest common divisor of 749, 243, 864, 317 i.e 1 in different methods as follows.
Given Input numbers are 749, 243, 864, 317
In the factoring method, we have to find the divisors of all numbers
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 317 :
The positive integer divisors of 317 that completely divides 317 are.
1, 317
GCD of numbers is the greatest common divisor
So, the GCD (749, 243, 864, 317) = 1.
Given numbers are 749, 243, 864, 317
The list of prime factors of all numbers are
Prime factors of 749 are 7 x 107
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 317 are 317
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 749, 243, 864, 317
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(749, 243) = 182007
GCD(749, 243) = ( 749 x 243 ) / 182007
= 749 / 243
= 749
Step2:
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
= 1 / 864
= 1
Step3:
LCM(1, 317) = 317
GCD(1, 317) = ( 1 x 317 ) / 317
= 1 / 317
= 1
So, Greatest Common Divisor of 749, 243, 864, 317 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 749, 243, 864, 317
The greatest common divisor of numbers 749, 243, 864, 317 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 243, 864, 317 is 1.
1. What is the GCD of 749, 243, 864, 317?
GCD of given numbers 749, 243, 864, 317 is 1
2. How to calculate the greatest common divisor of 749, 243, 864, 317?
We can find the highest common divisor of 749, 243, 864, 317 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 749, 243, 864, 317 i.e 1.
3. How can I use the GCD of 749, 243, 864, 317Calculator?
Out the numbers 749, 243, 864, 317 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.