GCD of 858, 904, 674, 448 Calculator

Given Input numbers are 858, 904, 674, 448

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

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 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 858, 904, 674, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 858, 904, 674, 448 is 2.

Therefore, GCD of numbers 858, 904, 674, 448 is 2

Given Input Data is 858, 904, 674, 448

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

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 674 is 2 x 337

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(858, 904) = 387816

GCD(858, 904) = ( 858 x 904 ) / 387816

GCD(858, 904) = 775632 / 387816

GCD(858, 904) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 674

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

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

GCD(2, 674) = 1348 / 674

GCD(2, 674) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 448

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

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

GCD(2, 448) = 896 / 448

GCD(2, 448) = 2

GCD of 858, 904, 674, 448 is 2

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1. What is the GCD of 858, 904, 674, 448?

GCD of 858, 904, 674, 448 is 2

2. Where do I get the detailed procedure to find GCD of 858, 904, 674, 448?

You can find a detailed procedure to find GCD of 858, 904, 674, 448 on our page.

3. How to find GCD of 858, 904, 674, 448 on a calculator?

You can find the GCD of 858, 904, 674, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.