Online GCD Calculator is useful to find the GCD of 342, 722, 338, 226 quickly. Get the easiest ways to solve the greatest common divisor of 342, 722, 338, 226 i.e 2 in different methods as follows.
Given Input numbers are 342, 722, 338, 226
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 722 :
The positive integer divisors of 722 that completely divides 722 are.
1, 2, 19, 38, 361, 722
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 226 :
The positive integer divisors of 226 that completely divides 226 are.
1, 2, 113, 226
GCD of numbers is the greatest common divisor
So, the GCD (342, 722, 338, 226) = 2.
Given numbers are 342, 722, 338, 226
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 722 are 2 x 19 x 19
Prime factors of 338 are 2 x 13 x 13
Prime factors of 226 are 2 x 113
The highest common occurrence is 21
Therefore, GCD of 342, 722, 338, 226 is 2.
Given numbers are 342, 722, 338, 226
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 722) = 6498
GCD(342, 722) = ( 342 x 722 ) / 6498
= 342 / 722
= 342
Step2:
LCM(38, 338) = 6422
GCD(38, 338) = ( 38 x 338 ) / 6422
= 38 / 338
= 38
Step3:
LCM(2, 226) = 226
GCD(2, 226) = ( 2 x 226 ) / 226
= 2 / 226
= 2
So, Greatest Common Divisor of 342, 722, 338, 226 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 722, 338, 226
The greatest common divisor of numbers 342, 722, 338, 226 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 722, 338, 226 is 2.
1. What is the GCD of 342, 722, 338, 226?
GCD of given numbers 342, 722, 338, 226 is 2
2. How to calculate the greatest common divisor of 342, 722, 338, 226?
We can find the highest common divisor of 342, 722, 338, 226 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, 722, 338, 226 i.e 2.
3. How can I use the GCD of 342, 722, 338, 226Calculator?
Out the numbers 342, 722, 338, 226 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.