Online GCD Calculator is useful to find the GCD of 728, 695, 737, 218 quickly. Get the easiest ways to solve the greatest common divisor of 728, 695, 737, 218 i.e 1 in different methods as follows.
Given Input numbers are 728, 695, 737, 218
In the factoring method, we have to find the divisors of all numbers
Divisors of 728 :
The positive integer divisors of 728 that completely divides 728 are.
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
Divisors of 695 :
The positive integer divisors of 695 that completely divides 695 are.
1, 5, 139, 695
Divisors of 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
GCD of numbers is the greatest common divisor
So, the GCD (728, 695, 737, 218) = 1.
Given numbers are 728, 695, 737, 218
The list of prime factors of all numbers are
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
Prime factors of 695 are 5 x 139
Prime factors of 737 are 11 x 67
Prime factors of 218 are 2 x 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 728, 695, 737, 218
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(728, 695) = 505960
GCD(728, 695) = ( 728 x 695 ) / 505960
= 728 / 695
= 728
Step2:
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
= 1 / 737
= 1
Step3:
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
= 1 / 218
= 1
So, Greatest Common Divisor of 728, 695, 737, 218 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 728, 695, 737, 218
The greatest common divisor of numbers 728, 695, 737, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 695, 737, 218 is 1.
1. What is the GCD of 728, 695, 737, 218?
GCD of given numbers 728, 695, 737, 218 is 1
2. How to calculate the greatest common divisor of 728, 695, 737, 218?
We can find the highest common divisor of 728, 695, 737, 218 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 728, 695, 737, 218 i.e 1.
3. How can I use the GCD of 728, 695, 737, 218Calculator?
Out the numbers 728, 695, 737, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.