Online GCD Calculator is useful to find the GCD of 428, 321, 858, 458 quickly. Get the easiest ways to solve the greatest common divisor of 428, 321, 858, 458 i.e 1 in different methods as follows.
Given Input numbers are 428, 321, 858, 458
In the factoring method, we have to find the divisors of all numbers
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 858 :
The positive integer divisors of 858 that completely divides 858 are.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 458 :
The positive integer divisors of 458 that completely divides 458 are.
1, 2, 229, 458
GCD of numbers is the greatest common divisor
So, the GCD (428, 321, 858, 458) = 1.
Given numbers are 428, 321, 858, 458
The list of prime factors of all numbers are
Prime factors of 428 are 2 x 2 x 107
Prime factors of 321 are 3 x 107
Prime factors of 858 are 2 x 3 x 11 x 13
Prime factors of 458 are 2 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 428, 321, 858, 458
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(428, 321) = 1284
GCD(428, 321) = ( 428 x 321 ) / 1284
= 428 / 321
= 428
Step2:
LCM(107, 858) = 91806
GCD(107, 858) = ( 107 x 858 ) / 91806
= 107 / 858
= 107
Step3:
LCM(1, 458) = 458
GCD(1, 458) = ( 1 x 458 ) / 458
= 1 / 458
= 1
So, Greatest Common Divisor of 428, 321, 858, 458 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 428, 321, 858, 458
The greatest common divisor of numbers 428, 321, 858, 458 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 321, 858, 458 is 1.
1. What is the GCD of 428, 321, 858, 458?
GCD of given numbers 428, 321, 858, 458 is 1
2. How to calculate the greatest common divisor of 428, 321, 858, 458?
We can find the highest common divisor of 428, 321, 858, 458 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 428, 321, 858, 458 i.e 1.
3. How can I use the GCD of 428, 321, 858, 458Calculator?
Out the numbers 428, 321, 858, 458 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.