Online GCD Calculator is useful to find the GCD of 364, 776, 723, 997 quickly. Get the easiest ways to solve the greatest common divisor of 364, 776, 723, 997 i.e 1 in different methods as follows.
Given Input numbers are 364, 776, 723, 997
In the factoring method, we have to find the divisors of all numbers
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 776 :
The positive integer divisors of 776 that completely divides 776 are.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
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 (364, 776, 723, 997) = 1.
Given numbers are 364, 776, 723, 997
The list of prime factors of all numbers are
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 776 are 2 x 2 x 2 x 97
Prime factors of 723 are 3 x 241
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 364, 776, 723, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(364, 776) = 70616
GCD(364, 776) = ( 364 x 776 ) / 70616
= 364 / 776
= 364
Step2:
LCM(4, 723) = 2892
GCD(4, 723) = ( 4 x 723 ) / 2892
= 4 / 723
= 4
Step3:
LCM(1, 997) = 997
GCD(1, 997) = ( 1 x 997 ) / 997
= 1 / 997
= 1
So, Greatest Common Divisor of 364, 776, 723, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 364, 776, 723, 997
The greatest common divisor of numbers 364, 776, 723, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 776, 723, 997 is 1.
1. What is the GCD of 364, 776, 723, 997?
GCD of given numbers 364, 776, 723, 997 is 1
2. How to calculate the greatest common divisor of 364, 776, 723, 997?
We can find the highest common divisor of 364, 776, 723, 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 364, 776, 723, 997 i.e 1.
3. How can I use the GCD of 364, 776, 723, 997Calculator?
Out the numbers 364, 776, 723, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.