Online GCD Calculator is useful to find the GCD of 663, 692, 678, 728 quickly. Get the easiest ways to solve the greatest common divisor of 663, 692, 678, 728 i.e 1 in different methods as follows.
Given Input numbers are 663, 692, 678, 728
In the factoring method, we have to find the divisors of all numbers
Divisors of 663 :
The positive integer divisors of 663 that completely divides 663 are.
1, 3, 13, 17, 39, 51, 221, 663
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
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
GCD of numbers is the greatest common divisor
So, the GCD (663, 692, 678, 728) = 1.
Given numbers are 663, 692, 678, 728
The list of prime factors of all numbers are
Prime factors of 663 are 3 x 13 x 17
Prime factors of 692 are 2 x 2 x 173
Prime factors of 678 are 2 x 3 x 113
Prime factors of 728 are 2 x 2 x 2 x 7 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 663, 692, 678, 728
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(663, 692) = 458796
GCD(663, 692) = ( 663 x 692 ) / 458796
= 663 / 692
= 663
Step2:
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
= 1 / 678
= 1
Step3:
LCM(1, 728) = 728
GCD(1, 728) = ( 1 x 728 ) / 728
= 1 / 728
= 1
So, Greatest Common Divisor of 663, 692, 678, 728 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 663, 692, 678, 728
The greatest common divisor of numbers 663, 692, 678, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 663, 692, 678, 728 is 1.
1. What is the GCD of 663, 692, 678, 728?
GCD of given numbers 663, 692, 678, 728 is 1
2. How to calculate the greatest common divisor of 663, 692, 678, 728?
We can find the highest common divisor of 663, 692, 678, 728 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 663, 692, 678, 728 i.e 1.
3. How can I use the GCD of 663, 692, 678, 728Calculator?
Out the numbers 663, 692, 678, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.