Online GCD Calculator is useful to find the GCD of 626, 170, 270, 342 quickly. Get the easiest ways to solve the greatest common divisor of 626, 170, 270, 342 i.e 2 in different methods as follows.
Given Input numbers are 626, 170, 270, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 626 :
The positive integer divisors of 626 that completely divides 626 are.
1, 2, 313, 626
Divisors of 170 :
The positive integer divisors of 170 that completely divides 170 are.
1, 2, 5, 10, 17, 34, 85, 170
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
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
GCD of numbers is the greatest common divisor
So, the GCD (626, 170, 270, 342) = 2.
Given numbers are 626, 170, 270, 342
The list of prime factors of all numbers are
Prime factors of 626 are 2 x 313
Prime factors of 170 are 2 x 5 x 17
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 626, 170, 270, 342 is 2.
Given numbers are 626, 170, 270, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(626, 170) = 53210
GCD(626, 170) = ( 626 x 170 ) / 53210
= 626 / 170
= 626
Step2:
LCM(2, 270) = 270
GCD(2, 270) = ( 2 x 270 ) / 270
= 2 / 270
= 2
Step3:
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
= 2 / 342
= 2
So, Greatest Common Divisor of 626, 170, 270, 342 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 626, 170, 270, 342
The greatest common divisor of numbers 626, 170, 270, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 626, 170, 270, 342 is 2.
1. What is the GCD of 626, 170, 270, 342?
GCD of given numbers 626, 170, 270, 342 is 2
2. How to calculate the greatest common divisor of 626, 170, 270, 342?
We can find the highest common divisor of 626, 170, 270, 342 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 626, 170, 270, 342 i.e 2.
3. How can I use the GCD of 626, 170, 270, 342Calculator?
Out the numbers 626, 170, 270, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.