Online GCD Calculator is useful to find the GCD of 342, 212, 432, 240 quickly. Get the easiest ways to solve the greatest common divisor of 342, 212, 432, 240 i.e 2 in different methods as follows.
Given Input numbers are 342, 212, 432, 240
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 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
GCD of numbers is the greatest common divisor
So, the GCD (342, 212, 432, 240) = 2.
Given numbers are 342, 212, 432, 240
The list of prime factors of all numbers are
Prime factors of 342 are 2 x 3 x 3 x 19
Prime factors of 212 are 2 x 2 x 53
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 342, 212, 432, 240 is 2.
Given numbers are 342, 212, 432, 240
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(342, 212) = 36252
GCD(342, 212) = ( 342 x 212 ) / 36252
= 342 / 212
= 342
Step2:
LCM(2, 432) = 432
GCD(2, 432) = ( 2 x 432 ) / 432
= 2 / 432
= 2
Step3:
LCM(2, 240) = 240
GCD(2, 240) = ( 2 x 240 ) / 240
= 2 / 240
= 2
So, Greatest Common Divisor of 342, 212, 432, 240 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 342, 212, 432, 240
The greatest common divisor of numbers 342, 212, 432, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 212, 432, 240 is 2.
1. What is the GCD of 342, 212, 432, 240?
GCD of given numbers 342, 212, 432, 240 is 2
2. How to calculate the greatest common divisor of 342, 212, 432, 240?
We can find the highest common divisor of 342, 212, 432, 240 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, 212, 432, 240 i.e 2.
3. How can I use the GCD of 342, 212, 432, 240Calculator?
Out the numbers 342, 212, 432, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.