Online GCD Calculator is useful to find the GCD of 685, 714, 360, 721 quickly. Get the easiest ways to solve the greatest common divisor of 685, 714, 360, 721 i.e 1 in different methods as follows.
Given Input numbers are 685, 714, 360, 721
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 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
GCD of numbers is the greatest common divisor
So, the GCD (685, 714, 360, 721) = 1.
Given numbers are 685, 714, 360, 721
The list of prime factors of all numbers are
Prime factors of 685 are 5 x 137
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 721 are 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 685, 714, 360, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(685, 714) = 489090
GCD(685, 714) = ( 685 x 714 ) / 489090
= 685 / 714
= 685
Step2:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
Step3:
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
= 1 / 721
= 1
So, Greatest Common Divisor of 685, 714, 360, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 685, 714, 360, 721
The greatest common divisor of numbers 685, 714, 360, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 685, 714, 360, 721 is 1.
1. What is the GCD of 685, 714, 360, 721?
GCD of given numbers 685, 714, 360, 721 is 1
2. How to calculate the greatest common divisor of 685, 714, 360, 721?
We can find the highest common divisor of 685, 714, 360, 721 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, 714, 360, 721 i.e 1.
3. How can I use the GCD of 685, 714, 360, 721Calculator?
Out the numbers 685, 714, 360, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.