Online GCD Calculator is useful to find the GCD of 212, 788, 509, 432 quickly. Get the easiest ways to solve the greatest common divisor of 212, 788, 509, 432 i.e 1 in different methods as follows.
Given Input numbers are 212, 788, 509, 432
In the factoring method, we have to find the divisors of all numbers
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 509 :
The positive integer divisors of 509 that completely divides 509 are.
1, 509
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
GCD of numbers is the greatest common divisor
So, the GCD (212, 788, 509, 432) = 1.
Given numbers are 212, 788, 509, 432
The list of prime factors of all numbers are
Prime factors of 212 are 2 x 2 x 53
Prime factors of 788 are 2 x 2 x 197
Prime factors of 509 are 509
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 212, 788, 509, 432
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(212, 788) = 41764
GCD(212, 788) = ( 212 x 788 ) / 41764
= 212 / 788
= 212
Step2:
LCM(4, 509) = 2036
GCD(4, 509) = ( 4 x 509 ) / 2036
= 4 / 509
= 4
Step3:
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
= 1 / 432
= 1
So, Greatest Common Divisor of 212, 788, 509, 432 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 212, 788, 509, 432
The greatest common divisor of numbers 212, 788, 509, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 788, 509, 432 is 1.
1. What is the GCD of 212, 788, 509, 432?
GCD of given numbers 212, 788, 509, 432 is 1
2. How to calculate the greatest common divisor of 212, 788, 509, 432?
We can find the highest common divisor of 212, 788, 509, 432 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 212, 788, 509, 432 i.e 1.
3. How can I use the GCD of 212, 788, 509, 432Calculator?
Out the numbers 212, 788, 509, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.