GCD of 674, 832, 406, 440 Calculator

Given Input numbers are 674, 832, 406, 440

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

Divisors of 674

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

1, 2, 337, 674

Divisors of 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 674, 832, 406, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 832, 406, 440 is 2.

Therefore, GCD of numbers 674, 832, 406, 440 is 2

Given Input Data is 674, 832, 406, 440

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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(674, 832) = 280384

GCD(674, 832) = ( 674 x 832 ) / 280384

GCD(674, 832) = 560768 / 280384

GCD(674, 832) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 406

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

LCM(2, 406) = 406

GCD(2, 406) = ( 2 x 406 ) / 406

GCD(2, 406) = 812 / 406

GCD(2, 406) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 440

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

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

GCD(2, 440) = 880 / 440

GCD(2, 440) = 2

GCD of 674, 832, 406, 440 is 2

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1. What is the GCD of 674, 832, 406, 440?

GCD of 674, 832, 406, 440 is 2

2. Where do I get the detailed procedure to find GCD of 674, 832, 406, 440?

You can find a detailed procedure to find GCD of 674, 832, 406, 440 on our page.

3. How to find GCD of 674, 832, 406, 440 on a calculator?

You can find the GCD of 674, 832, 406, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.