Online GCD Calculator is useful to find the GCD of 624, 923, 689 quickly. Get the easiest ways to solve the greatest common divisor of 624, 923, 689 i.e 13 in different methods as follows.
Given Input numbers are 624, 923, 689
In the factoring method, we have to find the divisors of all numbers
Divisors of 624 :
The positive integer divisors of 624 that completely divides 624 are.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Divisors of 923 :
The positive integer divisors of 923 that completely divides 923 are.
1, 13, 71, 923
Divisors of 689 :
The positive integer divisors of 689 that completely divides 689 are.
1, 13, 53, 689
GCD of numbers is the greatest common divisor
So, the GCD (624, 923, 689) = 13.
Given numbers are 624, 923, 689
The list of prime factors of all numbers are
Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13
Prime factors of 923 are 13 x 71
Prime factors of 689 are 13 x 53
The highest common occurrence is 131
Therefore, GCD of 624, 923, 689 is 13.
Given numbers are 624, 923, 689
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(624, 923) = 44304
GCD(624, 923) = ( 624 x 923 ) / 44304
= 624 / 923
= 624
Step2:
LCM(13, 689) = 689
GCD(13, 689) = ( 13 x 689 ) / 689
= 13 / 689
= 13
So, Greatest Common Divisor of 624, 923, 689 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 624, 923, 689
The greatest common divisor of numbers 624, 923, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 923, 689 is 13.
1. What is the GCD of 624, 923, 689?
GCD of given numbers 624, 923, 689 is 13
2. How to calculate the greatest common divisor of 624, 923, 689?
We can find the highest common divisor of 624, 923, 689 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 624, 923, 689 i.e 13.
3. How can I use the GCD of 624, 923, 689Calculator?
Out the numbers 624, 923, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.