Online GCD Calculator is useful to find the GCD of 678, 474, 697, 721 quickly. Get the easiest ways to solve the greatest common divisor of 678, 474, 697, 721 i.e 1 in different methods as follows.
Given Input numbers are 678, 474, 697, 721
In the factoring method, we have to find the divisors of all numbers
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 697 :
The positive integer divisors of 697 that completely divides 697 are.
1, 17, 41, 697
Divisors of 721 :
The positive integer divisors of 721 that completely divides 721 are.
1, 7, 103, 721
GCD of numbers is the greatest common divisor
So, the GCD (678, 474, 697, 721) = 1.
Given numbers are 678, 474, 697, 721
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 474 are 2 x 3 x 79
Prime factors of 697 are 17 x 41
Prime factors of 721 are 7 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 678, 474, 697, 721
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 474) = 53562
GCD(678, 474) = ( 678 x 474 ) / 53562
= 678 / 474
= 678
Step2:
LCM(6, 697) = 4182
GCD(6, 697) = ( 6 x 697 ) / 4182
= 6 / 697
= 6
Step3:
LCM(1, 721) = 721
GCD(1, 721) = ( 1 x 721 ) / 721
= 1 / 721
= 1
So, Greatest Common Divisor of 678, 474, 697, 721 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 474, 697, 721
The greatest common divisor of numbers 678, 474, 697, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 474, 697, 721 is 1.
1. What is the GCD of 678, 474, 697, 721?
GCD of given numbers 678, 474, 697, 721 is 1
2. How to calculate the greatest common divisor of 678, 474, 697, 721?
We can find the highest common divisor of 678, 474, 697, 721 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 678, 474, 697, 721 i.e 1.
3. How can I use the GCD of 678, 474, 697, 721Calculator?
Out the numbers 678, 474, 697, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.