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GCD of 428, 321, 858, 458 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


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.

GCD of

How to Find GCD of Numbers 428, 321, 858, 458 with Factoring?

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.

Find GCD of 428, 321, 858, 458 using Prime Factorization

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

Steps to Calculate GCD of 428, 321, 858, 458 using LCM Formula

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

GCD of Numbers Calculation Examples

Greatest Common Divisor of 428, 321, 858, 458

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.

FAQs on GCD of 428, 321, 858, 458 Calculator

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.