Online GCD Calculator is useful to find the GCD of 422, 342, 142 quickly. Get the easiest ways to solve the greatest common divisor of 422, 342, 142 i.e 2 in different methods as follows.
Given Input numbers are 422, 342, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
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 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (422, 342, 142) = 2.
Given numbers are 422, 342, 142
The list of prime factors of all numbers are
Prime factors of 422 are 2 x 211
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 142 are 2 x 71
The highest common occurrence is 21
Therefore, GCD of 422, 342, 142 is 2.
Given numbers are 422, 342, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(422, 342) = 72162
GCD(422, 342) = ( 422 x 342 ) / 72162
= 422 / 342
= 422
Step2:
LCM(2, 142) = 142
GCD(2, 142) = ( 2 x 142 ) / 142
= 2 / 142
= 2
So, Greatest Common Divisor of 422, 342, 142 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 422, 342, 142
The greatest common divisor of numbers 422, 342, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 342, 142 is 2.
1. What is the GCD of 422, 342, 142?
GCD of given numbers 422, 342, 142 is 2
2. How to calculate the greatest common divisor of 422, 342, 142?
We can find the highest common divisor of 422, 342, 142 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 422, 342, 142 i.e 2.
3. How can I use the GCD of 422, 342, 142Calculator?
Out the numbers 422, 342, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.