Online GCD Calculator is useful to find the GCD of 126, 434, 518, 212 quickly. Get the easiest ways to solve the greatest common divisor of 126, 434, 518, 212 i.e 2 in different methods as follows.
Given Input numbers are 126, 434, 518, 212
In the factoring method, we have to find the divisors of all numbers
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 518 :
The positive integer divisors of 518 that completely divides 518 are.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
GCD of numbers is the greatest common divisor
So, the GCD (126, 434, 518, 212) = 2.
Given numbers are 126, 434, 518, 212
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 434 are 2 x 7 x 31
Prime factors of 518 are 2 x 7 x 37
Prime factors of 212 are 2 x 2 x 53
The highest common occurrence is 21
Therefore, GCD of 126, 434, 518, 212 is 2.
Given numbers are 126, 434, 518, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 434) = 3906
GCD(126, 434) = ( 126 x 434 ) / 3906
= 126 / 434
= 126
Step2:
LCM(14, 518) = 518
GCD(14, 518) = ( 14 x 518 ) / 518
= 14 / 518
= 14
Step3:
LCM(14, 212) = 1484
GCD(14, 212) = ( 14 x 212 ) / 1484
= 14 / 212
= 14
So, Greatest Common Divisor of 126, 434, 518, 212 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 126, 434, 518, 212
The greatest common divisor of numbers 126, 434, 518, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 434, 518, 212 is 2.
1. What is the GCD of 126, 434, 518, 212?
GCD of given numbers 126, 434, 518, 212 is 2
2. How to calculate the greatest common divisor of 126, 434, 518, 212?
We can find the highest common divisor of 126, 434, 518, 212 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 126, 434, 518, 212 i.e 2.
3. How can I use the GCD of 126, 434, 518, 212Calculator?
Out the numbers 126, 434, 518, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.