Online GCD Calculator is useful to find the GCD of 313, 218, 432, 428 quickly. Get the easiest ways to solve the greatest common divisor of 313, 218, 432, 428 i.e 1 in different methods as follows.
Given Input numbers are 313, 218, 432, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
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 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (313, 218, 432, 428) = 1.
Given numbers are 313, 218, 432, 428
The list of prime factors of all numbers are
Prime factors of 313 are 313
Prime factors of 218 are 2 x 109
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 428 are 2 x 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 313, 218, 432, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(313, 218) = 68234
GCD(313, 218) = ( 313 x 218 ) / 68234
= 313 / 218
= 313
Step2:
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
= 1 / 432
= 1
Step3:
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
= 1 / 428
= 1
So, Greatest Common Divisor of 313, 218, 432, 428 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 313, 218, 432, 428
The greatest common divisor of numbers 313, 218, 432, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 313, 218, 432, 428 is 1.
1. What is the GCD of 313, 218, 432, 428?
GCD of given numbers 313, 218, 432, 428 is 1
2. How to calculate the greatest common divisor of 313, 218, 432, 428?
We can find the highest common divisor of 313, 218, 432, 428 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 313, 218, 432, 428 i.e 1.
3. How can I use the GCD of 313, 218, 432, 428Calculator?
Out the numbers 313, 218, 432, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.