Online GCD Calculator is useful to find the GCD of 170, 792, 105, 892 quickly. Get the easiest ways to solve the greatest common divisor of 170, 792, 105, 892 i.e 1 in different methods as follows.
Given Input numbers are 170, 792, 105, 892
In the factoring method, we have to find the divisors of all numbers
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 892 :
The positive integer divisors of 892 that completely divides 892 are.
1, 2, 4, 223, 446, 892
GCD of numbers is the greatest common divisor
So, the GCD (170, 792, 105, 892) = 1.
Given numbers are 170, 792, 105, 892
The list of prime factors of all numbers are
Prime factors of 170 are 2 x 5 x 17
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 105 are 3 x 5 x 7
Prime factors of 892 are 2 x 2 x 223
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 170, 792, 105, 892
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(170, 792) = 67320
GCD(170, 792) = ( 170 x 792 ) / 67320
= 170 / 792
= 170
Step2:
LCM(2, 105) = 210
GCD(2, 105) = ( 2 x 105 ) / 210
= 2 / 105
= 2
Step3:
LCM(1, 892) = 892
GCD(1, 892) = ( 1 x 892 ) / 892
= 1 / 892
= 1
So, Greatest Common Divisor of 170, 792, 105, 892 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 170, 792, 105, 892
The greatest common divisor of numbers 170, 792, 105, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 792, 105, 892 is 1.
1. What is the GCD of 170, 792, 105, 892?
GCD of given numbers 170, 792, 105, 892 is 1
2. How to calculate the greatest common divisor of 170, 792, 105, 892?
We can find the highest common divisor of 170, 792, 105, 892 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 170, 792, 105, 892 i.e 1.
3. How can I use the GCD of 170, 792, 105, 892Calculator?
Out the numbers 170, 792, 105, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.