Online GCD Calculator is useful to find the GCD of 772, 892, 723, 686 quickly. Get the easiest ways to solve the greatest common divisor of 772, 892, 723, 686 i.e 1 in different methods as follows.
Given Input numbers are 772, 892, 723, 686
In the factoring method, we have to find the divisors of all numbers
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
GCD of numbers is the greatest common divisor
So, the GCD (772, 892, 723, 686) = 1.
Given numbers are 772, 892, 723, 686
The list of prime factors of all numbers are
Prime factors of 772 are 2 x 2 x 193
Prime factors of 892 are 2 x 2 x 223
Prime factors of 723 are 3 x 241
Prime factors of 686 are 2 x 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 772, 892, 723, 686
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(772, 892) = 172156
GCD(772, 892) = ( 772 x 892 ) / 172156
= 772 / 892
= 772
Step2:
LCM(4, 723) = 2892
GCD(4, 723) = ( 4 x 723 ) / 2892
= 4 / 723
= 4
Step3:
LCM(1, 686) = 686
GCD(1, 686) = ( 1 x 686 ) / 686
= 1 / 686
= 1
So, Greatest Common Divisor of 772, 892, 723, 686 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 772, 892, 723, 686
The greatest common divisor of numbers 772, 892, 723, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 892, 723, 686 is 1.
1. What is the GCD of 772, 892, 723, 686?
GCD of given numbers 772, 892, 723, 686 is 1
2. How to calculate the greatest common divisor of 772, 892, 723, 686?
We can find the highest common divisor of 772, 892, 723, 686 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 772, 892, 723, 686 i.e 1.
3. How can I use the GCD of 772, 892, 723, 686Calculator?
Out the numbers 772, 892, 723, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.