Online GCD Calculator is useful to find the GCD of 103, 609, 678, 696 quickly. Get the easiest ways to solve the greatest common divisor of 103, 609, 678, 696 i.e 1 in different methods as follows.
Given Input numbers are 103, 609, 678, 696
In the factoring method, we have to find the divisors of all numbers
Divisors of 103 :
The positive integer divisors of 103 that completely divides 103 are.
1, 103
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (103, 609, 678, 696) = 1.
Given numbers are 103, 609, 678, 696
The list of prime factors of all numbers are
Prime factors of 103 are 103
Prime factors of 609 are 3 x 7 x 29
Prime factors of 678 are 2 x 3 x 113
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 103, 609, 678, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(103, 609) = 62727
GCD(103, 609) = ( 103 x 609 ) / 62727
= 103 / 609
= 103
Step2:
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
= 1 / 678
= 1
Step3:
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
= 1 / 696
= 1
So, Greatest Common Divisor of 103, 609, 678, 696 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 103, 609, 678, 696
The greatest common divisor of numbers 103, 609, 678, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 103, 609, 678, 696 is 1.
1. What is the GCD of 103, 609, 678, 696?
GCD of given numbers 103, 609, 678, 696 is 1
2. How to calculate the greatest common divisor of 103, 609, 678, 696?
We can find the highest common divisor of 103, 609, 678, 696 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 103, 609, 678, 696 i.e 1.
3. How can I use the GCD of 103, 609, 678, 696Calculator?
Out the numbers 103, 609, 678, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.