Online GCD Calculator is useful to find the GCD of 680, 901, 923, 916 quickly. Get the easiest ways to solve the greatest common divisor of 680, 901, 923, 916 i.e 1 in different methods as follows.
Given Input numbers are 680, 901, 923, 916
In the factoring method, we have to find the divisors of all numbers
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 901 :
The positive integer divisors of 901 that completely divides 901 are.
1, 17, 53, 901
Divisors of 923 :
The positive integer divisors of 923 that completely divides 923 are.
1, 13, 71, 923
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (680, 901, 923, 916) = 1.
Given numbers are 680, 901, 923, 916
The list of prime factors of all numbers are
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 901 are 17 x 53
Prime factors of 923 are 13 x 71
Prime factors of 916 are 2 x 2 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 680, 901, 923, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(680, 901) = 36040
GCD(680, 901) = ( 680 x 901 ) / 36040
= 680 / 901
= 680
Step2:
LCM(17, 923) = 15691
GCD(17, 923) = ( 17 x 923 ) / 15691
= 17 / 923
= 17
Step3:
LCM(1, 916) = 916
GCD(1, 916) = ( 1 x 916 ) / 916
= 1 / 916
= 1
So, Greatest Common Divisor of 680, 901, 923, 916 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 680, 901, 923, 916
The greatest common divisor of numbers 680, 901, 923, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 680, 901, 923, 916 is 1.
1. What is the GCD of 680, 901, 923, 916?
GCD of given numbers 680, 901, 923, 916 is 1
2. How to calculate the greatest common divisor of 680, 901, 923, 916?
We can find the highest common divisor of 680, 901, 923, 916 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 680, 901, 923, 916 i.e 1.
3. How can I use the GCD of 680, 901, 923, 916Calculator?
Out the numbers 680, 901, 923, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.