Online GCD Calculator is useful to find the GCD of 299, 429, 212, 462 quickly. Get the easiest ways to solve the greatest common divisor of 299, 429, 212, 462 i.e 1 in different methods as follows.
Given Input numbers are 299, 429, 212, 462
In the factoring method, we have to find the divisors of all numbers
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 462 :
The positive integer divisors of 462 that completely divides 462 are.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
GCD of numbers is the greatest common divisor
So, the GCD (299, 429, 212, 462) = 1.
Given numbers are 299, 429, 212, 462
The list of prime factors of all numbers are
Prime factors of 299 are 13 x 23
Prime factors of 429 are 3 x 11 x 13
Prime factors of 212 are 2 x 2 x 53
Prime factors of 462 are 2 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 299, 429, 212, 462
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(299, 429) = 9867
GCD(299, 429) = ( 299 x 429 ) / 9867
= 299 / 429
= 299
Step2:
LCM(13, 212) = 2756
GCD(13, 212) = ( 13 x 212 ) / 2756
= 13 / 212
= 13
Step3:
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
= 1 / 462
= 1
So, Greatest Common Divisor of 299, 429, 212, 462 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 299, 429, 212, 462
The greatest common divisor of numbers 299, 429, 212, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 299, 429, 212, 462 is 1.
1. What is the GCD of 299, 429, 212, 462?
GCD of given numbers 299, 429, 212, 462 is 1
2. How to calculate the greatest common divisor of 299, 429, 212, 462?
We can find the highest common divisor of 299, 429, 212, 462 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 299, 429, 212, 462 i.e 1.
3. How can I use the GCD of 299, 429, 212, 462Calculator?
Out the numbers 299, 429, 212, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.