Online GCD Calculator is useful to find the GCD of 170, 110, 442, 470 quickly. Get the easiest ways to solve the greatest common divisor of 170, 110, 442, 470 i.e 2 in different methods as follows.
Given Input numbers are 170, 110, 442, 470
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 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
GCD of numbers is the greatest common divisor
So, the GCD (170, 110, 442, 470) = 2.
Given numbers are 170, 110, 442, 470
The list of prime factors of all numbers are
Prime factors of 170 are 2 x 5 x 17
Prime factors of 110 are 2 x 5 x 11
Prime factors of 442 are 2 x 13 x 17
Prime factors of 470 are 2 x 5 x 47
The highest common occurrence is 21
Therefore, GCD of 170, 110, 442, 470 is 2.
Given numbers are 170, 110, 442, 470
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(170, 110) = 1870
GCD(170, 110) = ( 170 x 110 ) / 1870
= 170 / 110
= 170
Step2:
LCM(10, 442) = 2210
GCD(10, 442) = ( 10 x 442 ) / 2210
= 10 / 442
= 10
Step3:
LCM(2, 470) = 470
GCD(2, 470) = ( 2 x 470 ) / 470
= 2 / 470
= 2
So, Greatest Common Divisor of 170, 110, 442, 470 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 170, 110, 442, 470
The greatest common divisor of numbers 170, 110, 442, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 110, 442, 470 is 2.
1. What is the GCD of 170, 110, 442, 470?
GCD of given numbers 170, 110, 442, 470 is 2
2. How to calculate the greatest common divisor of 170, 110, 442, 470?
We can find the highest common divisor of 170, 110, 442, 470 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, 110, 442, 470 i.e 2.
3. How can I use the GCD of 170, 110, 442, 470Calculator?
Out the numbers 170, 110, 442, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.