Online GCD Calculator is useful to find the GCD of 723, 792, 460, 634 quickly. Get the easiest ways to solve the greatest common divisor of 723, 792, 460, 634 i.e 1 in different methods as follows.
Given Input numbers are 723, 792, 460, 634
In the factoring method, we have to find the divisors of all numbers
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 460 :
The positive integer divisors of 460 that completely divides 460 are.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
GCD of numbers is the greatest common divisor
So, the GCD (723, 792, 460, 634) = 1.
Given numbers are 723, 792, 460, 634
The list of prime factors of all numbers are
Prime factors of 723 are 3 x 241
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 460 are 2 x 2 x 5 x 23
Prime factors of 634 are 2 x 317
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 723, 792, 460, 634
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(723, 792) = 190872
GCD(723, 792) = ( 723 x 792 ) / 190872
= 723 / 792
= 723
Step2:
LCM(3, 460) = 1380
GCD(3, 460) = ( 3 x 460 ) / 1380
= 3 / 460
= 3
Step3:
LCM(1, 634) = 634
GCD(1, 634) = ( 1 x 634 ) / 634
= 1 / 634
= 1
So, Greatest Common Divisor of 723, 792, 460, 634 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 723, 792, 460, 634
The greatest common divisor of numbers 723, 792, 460, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 792, 460, 634 is 1.
1. What is the GCD of 723, 792, 460, 634?
GCD of given numbers 723, 792, 460, 634 is 1
2. How to calculate the greatest common divisor of 723, 792, 460, 634?
We can find the highest common divisor of 723, 792, 460, 634 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 723, 792, 460, 634 i.e 1.
3. How can I use the GCD of 723, 792, 460, 634Calculator?
Out the numbers 723, 792, 460, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.