Online GCD Calculator is useful to find the GCD of 342, 170, 420, 606 quickly. Get the easiest ways to solve the greatest common divisor of 342, 170, 420, 606 i.e 2 in different methods as follows.
Given Input numbers are 342, 170, 420, 606
In the factoring method, we have to find the divisors of all numbers
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 606 :
The positive integer divisors of 606 that completely divides 606 are.
1, 2, 3, 6, 101, 202, 303, 606
GCD of numbers is the greatest common divisor
So, the GCD (342, 170, 420, 606) = 2.
Given numbers are 342, 170, 420, 606
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 170 are 2 x 5 x 17
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 606 are 2 x 3 x 101
The highest common occurrence is 21
Therefore, GCD of 342, 170, 420, 606 is 2.
Given numbers are 342, 170, 420, 606
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 170) = 29070
GCD(342, 170) = ( 342 x 170 ) / 29070
= 342 / 170
= 342
Step2:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
Step3:
LCM(2, 606) = 606
GCD(2, 606) = ( 2 x 606 ) / 606
= 2 / 606
= 2
So, Greatest Common Divisor of 342, 170, 420, 606 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 170, 420, 606
The greatest common divisor of numbers 342, 170, 420, 606 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 170, 420, 606 is 2.
1. What is the GCD of 342, 170, 420, 606?
GCD of given numbers 342, 170, 420, 606 is 2
2. How to calculate the greatest common divisor of 342, 170, 420, 606?
We can find the highest common divisor of 342, 170, 420, 606 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 342, 170, 420, 606 i.e 2.
3. How can I use the GCD of 342, 170, 420, 606Calculator?
Out the numbers 342, 170, 420, 606 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.