Online GCD Calculator is useful to find the GCD of 685, 160, 144, 723 quickly. Get the easiest ways to solve the greatest common divisor of 685, 160, 144, 723 i.e 1 in different methods as follows.
Given Input numbers are 685, 160, 144, 723
In the factoring method, we have to find the divisors of all numbers
Divisors of 685 :
The positive integer divisors of 685 that completely divides 685 are.
1, 5, 137, 685
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 723 :
The positive integer divisors of 723 that completely divides 723 are.
1, 3, 241, 723
GCD of numbers is the greatest common divisor
So, the GCD (685, 160, 144, 723) = 1.
Given numbers are 685, 160, 144, 723
The list of prime factors of all numbers are
Prime factors of 685 are 5 x 137
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 723 are 3 x 241
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 685, 160, 144, 723
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(685, 160) = 21920
GCD(685, 160) = ( 685 x 160 ) / 21920
= 685 / 160
= 685
Step2:
LCM(5, 144) = 720
GCD(5, 144) = ( 5 x 144 ) / 720
= 5 / 144
= 5
Step3:
LCM(1, 723) = 723
GCD(1, 723) = ( 1 x 723 ) / 723
= 1 / 723
= 1
So, Greatest Common Divisor of 685, 160, 144, 723 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 685, 160, 144, 723
The greatest common divisor of numbers 685, 160, 144, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 685, 160, 144, 723 is 1.
1. What is the GCD of 685, 160, 144, 723?
GCD of given numbers 685, 160, 144, 723 is 1
2. How to calculate the greatest common divisor of 685, 160, 144, 723?
We can find the highest common divisor of 685, 160, 144, 723 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 685, 160, 144, 723 i.e 1.
3. How can I use the GCD of 685, 160, 144, 723Calculator?
Out the numbers 685, 160, 144, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.