Online GCD Calculator is useful to find the GCD of 917, 600, 17, 870 quickly. Get the easiest ways to solve the greatest common divisor of 917, 600, 17, 870 i.e 1 in different methods as follows.
Given Input numbers are 917, 600, 17, 870
In the factoring method, we have to find the divisors of all numbers
Divisors of 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 17 :
The positive integer divisors of 17 that completely divides 17 are.
1, 17
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
GCD of numbers is the greatest common divisor
So, the GCD (917, 600, 17, 870) = 1.
Given numbers are 917, 600, 17, 870
The list of prime factors of all numbers are
Prime factors of 917 are 7 x 131
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
Prime factors of 17 are 17
Prime factors of 870 are 2 x 3 x 5 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 917, 600, 17, 870
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(917, 600) = 550200
GCD(917, 600) = ( 917 x 600 ) / 550200
= 917 / 600
= 917
Step2:
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
= 1 / 17
= 1
Step3:
LCM(1, 870) = 870
GCD(1, 870) = ( 1 x 870 ) / 870
= 1 / 870
= 1
So, Greatest Common Divisor of 917, 600, 17, 870 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 917, 600, 17, 870
The greatest common divisor of numbers 917, 600, 17, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 600, 17, 870 is 1.
1. What is the GCD of 917, 600, 17, 870?
GCD of given numbers 917, 600, 17, 870 is 1
2. How to calculate the greatest common divisor of 917, 600, 17, 870?
We can find the highest common divisor of 917, 600, 17, 870 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 917, 600, 17, 870 i.e 1.
3. How can I use the GCD of 917, 600, 17, 870Calculator?
Out the numbers 917, 600, 17, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.