Online GCD Calculator is useful to find the GCD of 342, 642, 922, 422 quickly. Get the easiest ways to solve the greatest common divisor of 342, 642, 922, 422 i.e 2 in different methods as follows.
Given Input numbers are 342, 642, 922, 422
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 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 922 :
The positive integer divisors of 922 that completely divides 922 are.
1, 2, 461, 922
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
GCD of numbers is the greatest common divisor
So, the GCD (342, 642, 922, 422) = 2.
Given numbers are 342, 642, 922, 422
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 642 are 2 x 3 x 107
Prime factors of 922 are 2 x 461
Prime factors of 422 are 2 x 211
The highest common occurrence is 21
Therefore, GCD of 342, 642, 922, 422 is 2.
Given numbers are 342, 642, 922, 422
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 642) = 36594
GCD(342, 642) = ( 342 x 642 ) / 36594
= 342 / 642
= 342
Step2:
LCM(6, 922) = 2766
GCD(6, 922) = ( 6 x 922 ) / 2766
= 6 / 922
= 6
Step3:
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
= 2 / 422
= 2
So, Greatest Common Divisor of 342, 642, 922, 422 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 642, 922, 422
The greatest common divisor of numbers 342, 642, 922, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 642, 922, 422 is 2.
1. What is the GCD of 342, 642, 922, 422?
GCD of given numbers 342, 642, 922, 422 is 2
2. How to calculate the greatest common divisor of 342, 642, 922, 422?
We can find the highest common divisor of 342, 642, 922, 422 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, 642, 922, 422 i.e 2.
3. How can I use the GCD of 342, 642, 922, 422Calculator?
Out the numbers 342, 642, 922, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.