Online GCD Calculator is useful to find the GCD of 697, 722, 116, 720 quickly. Get the easiest ways to solve the greatest common divisor of 697, 722, 116, 720 i.e 1 in different methods as follows.
Given Input numbers are 697, 722, 116, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (697, 722, 116, 720) = 1.
Given numbers are 697, 722, 116, 720
The list of prime factors of all numbers are
Prime factors of 697 are 17 x 41
Prime factors of 722 are 2 x 19 x 19
Prime factors of 116 are 2 x 2 x 29
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 697, 722, 116, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(697, 722) = 503234
GCD(697, 722) = ( 697 x 722 ) / 503234
= 697 / 722
= 697
Step2:
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
= 1 / 116
= 1
Step3:
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
= 1 / 720
= 1
So, Greatest Common Divisor of 697, 722, 116, 720 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 697, 722, 116, 720
The greatest common divisor of numbers 697, 722, 116, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 697, 722, 116, 720 is 1.
1. What is the GCD of 697, 722, 116, 720?
GCD of given numbers 697, 722, 116, 720 is 1
2. How to calculate the greatest common divisor of 697, 722, 116, 720?
We can find the highest common divisor of 697, 722, 116, 720 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 697, 722, 116, 720 i.e 1.
3. How can I use the GCD of 697, 722, 116, 720Calculator?
Out the numbers 697, 722, 116, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.