GCD of 428, 820, 354, 466 Calculator

Given Input numbers are 428, 820, 354, 466

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 428, 820, 354, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 820, 354, 466 is 2.

Therefore, GCD of numbers 428, 820, 354, 466 is 2

Given Input Data is 428, 820, 354, 466

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 466 is 2 x 233

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(428, 820) = 87740

GCD(428, 820) = ( 428 x 820 ) / 87740

GCD(428, 820) = 350960 / 87740

GCD(428, 820) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 354

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 354) = 708

GCD(4, 354) = ( 4 x 354 ) / 708

GCD(4, 354) = 1416 / 708

GCD(4, 354) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 466

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

GCD(2, 466) = 932 / 466

GCD(2, 466) = 2

GCD of 428, 820, 354, 466 is 2

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1. What is the GCD of 428, 820, 354, 466?

GCD of 428, 820, 354, 466 is 2

2. Where do I get the detailed procedure to find GCD of 428, 820, 354, 466?

You can find a detailed procedure to find GCD of 428, 820, 354, 466 on our page.

3. How to find GCD of 428, 820, 354, 466 on a calculator?

You can find the GCD of 428, 820, 354, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.