Online GCD Calculator is useful to find the GCD of 723, 894, 234, 680 quickly. Get the easiest ways to solve the greatest common divisor of 723, 894, 234, 680 i.e 1 in different methods as follows.
Given Input numbers are 723, 894, 234, 680
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 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (723, 894, 234, 680) = 1.
Given numbers are 723, 894, 234, 680
The list of prime factors of all numbers are
Prime factors of 723 are 3 x 241
Prime factors of 894 are 2 x 3 x 149
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 723, 894, 234, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(723, 894) = 215454
GCD(723, 894) = ( 723 x 894 ) / 215454
= 723 / 894
= 723
Step2:
LCM(3, 234) = 234
GCD(3, 234) = ( 3 x 234 ) / 234
= 3 / 234
= 3
Step3:
LCM(3, 680) = 2040
GCD(3, 680) = ( 3 x 680 ) / 2040
= 3 / 680
= 3
So, Greatest Common Divisor of 723, 894, 234, 680 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 723, 894, 234, 680
The greatest common divisor of numbers 723, 894, 234, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 894, 234, 680 is 1.
1. What is the GCD of 723, 894, 234, 680?
GCD of given numbers 723, 894, 234, 680 is 1
2. How to calculate the greatest common divisor of 723, 894, 234, 680?
We can find the highest common divisor of 723, 894, 234, 680 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, 894, 234, 680 i.e 1.
3. How can I use the GCD of 723, 894, 234, 680Calculator?
Out the numbers 723, 894, 234, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.