Online GCD Calculator is useful to find the GCD of 720, 474, 656, 289 quickly. Get the easiest ways to solve the greatest common divisor of 720, 474, 656, 289 i.e 1 in different methods as follows.
Given Input numbers are 720, 474, 656, 289
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 656 :
The positive integer divisors of 656 that completely divides 656 are.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (720, 474, 656, 289) = 1.
Given numbers are 720, 474, 656, 289
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 474 are 2 x 3 x 79
Prime factors of 656 are 2 x 2 x 2 x 2 x 41
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 720, 474, 656, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 474) = 56880
GCD(720, 474) = ( 720 x 474 ) / 56880
= 720 / 474
= 720
Step2:
LCM(6, 656) = 1968
GCD(6, 656) = ( 6 x 656 ) / 1968
= 6 / 656
= 6
Step3:
LCM(2, 289) = 578
GCD(2, 289) = ( 2 x 289 ) / 578
= 2 / 289
= 2
So, Greatest Common Divisor of 720, 474, 656, 289 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 474, 656, 289
The greatest common divisor of numbers 720, 474, 656, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 474, 656, 289 is 1.
1. What is the GCD of 720, 474, 656, 289?
GCD of given numbers 720, 474, 656, 289 is 1
2. How to calculate the greatest common divisor of 720, 474, 656, 289?
We can find the highest common divisor of 720, 474, 656, 289 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 720, 474, 656, 289 i.e 1.
3. How can I use the GCD of 720, 474, 656, 289Calculator?
Out the numbers 720, 474, 656, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.