Online GCD Calculator is useful to find the GCD of 495, 723, 732, 973 quickly. Get the easiest ways to solve the greatest common divisor of 495, 723, 732, 973 i.e 1 in different methods as follows.
Given Input numbers are 495, 723, 732, 973
In the factoring method, we have to find the divisors of all numbers
Divisors of 495 :
The positive integer divisors of 495 that completely divides 495 are.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 732 :
The positive integer divisors of 732 that completely divides 732 are.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 973 :
The positive integer divisors of 973 that completely divides 973 are.
1, 7, 139, 973
GCD of numbers is the greatest common divisor
So, the GCD (495, 723, 732, 973) = 1.
Given numbers are 495, 723, 732, 973
The list of prime factors of all numbers are
Prime factors of 495 are 3 x 3 x 5 x 11
Prime factors of 723 are 3 x 241
Prime factors of 732 are 2 x 2 x 3 x 61
Prime factors of 973 are 7 x 139
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 495, 723, 732, 973
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(495, 723) = 119295
GCD(495, 723) = ( 495 x 723 ) / 119295
= 495 / 723
= 495
Step2:
LCM(3, 732) = 732
GCD(3, 732) = ( 3 x 732 ) / 732
= 3 / 732
= 3
Step3:
LCM(3, 973) = 2919
GCD(3, 973) = ( 3 x 973 ) / 2919
= 3 / 973
= 3
So, Greatest Common Divisor of 495, 723, 732, 973 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 495, 723, 732, 973
The greatest common divisor of numbers 495, 723, 732, 973 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 723, 732, 973 is 1.
1. What is the GCD of 495, 723, 732, 973?
GCD of given numbers 495, 723, 732, 973 is 1
2. How to calculate the greatest common divisor of 495, 723, 732, 973?
We can find the highest common divisor of 495, 723, 732, 973 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 495, 723, 732, 973 i.e 1.
3. How can I use the GCD of 495, 723, 732, 973Calculator?
Out the numbers 495, 723, 732, 973 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.