Online GCD Calculator is useful to find the GCD of 720, 688, 364, 905 quickly. Get the easiest ways to solve the greatest common divisor of 720, 688, 364, 905 i.e 1 in different methods as follows.
Given Input numbers are 720, 688, 364, 905
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 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 905 :
The positive integer divisors of 905 that completely divides 905 are.
1, 5, 181, 905
GCD of numbers is the greatest common divisor
So, the GCD (720, 688, 364, 905) = 1.
Given numbers are 720, 688, 364, 905
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 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 905 are 5 x 181
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 720, 688, 364, 905
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 688) = 30960
GCD(720, 688) = ( 720 x 688 ) / 30960
= 720 / 688
= 720
Step2:
LCM(16, 364) = 1456
GCD(16, 364) = ( 16 x 364 ) / 1456
= 16 / 364
= 16
Step3:
LCM(4, 905) = 3620
GCD(4, 905) = ( 4 x 905 ) / 3620
= 4 / 905
= 4
So, Greatest Common Divisor of 720, 688, 364, 905 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 688, 364, 905
The greatest common divisor of numbers 720, 688, 364, 905 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 688, 364, 905 is 1.
1. What is the GCD of 720, 688, 364, 905?
GCD of given numbers 720, 688, 364, 905 is 1
2. How to calculate the greatest common divisor of 720, 688, 364, 905?
We can find the highest common divisor of 720, 688, 364, 905 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, 688, 364, 905 i.e 1.
3. How can I use the GCD of 720, 688, 364, 905Calculator?
Out the numbers 720, 688, 364, 905 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.