GCD of 478, 208, 858, 362 Calculator

Given Input numbers are 478, 208, 858, 362

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 858

List of positive integer divisors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 478, 208, 858, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 208, 858, 362 is 2.

Therefore, GCD of numbers 478, 208, 858, 362 is 2

Given Input Data is 478, 208, 858, 362

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 858 is 2 x 3 x 11 x 13

Prime Factorization of 362 is 2 x 181

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(478, 208) = 49712

GCD(478, 208) = ( 478 x 208 ) / 49712

GCD(478, 208) = 99424 / 49712

GCD(478, 208) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 858

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

LCM(2, 858) = 858

GCD(2, 858) = ( 2 x 858 ) / 858

GCD(2, 858) = 1716 / 858

GCD(2, 858) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 362

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

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

GCD(2, 362) = 724 / 362

GCD(2, 362) = 2

GCD of 478, 208, 858, 362 is 2

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1. What is the GCD of 478, 208, 858, 362?

GCD of 478, 208, 858, 362 is 2

2. Where do I get the detailed procedure to find GCD of 478, 208, 858, 362?

You can find a detailed procedure to find GCD of 478, 208, 858, 362 on our page.

3. How to find GCD of 478, 208, 858, 362 on a calculator?

You can find the GCD of 478, 208, 858, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.