GCD of 736, 884, 40, 458 Calculator

Given Input numbers are 736, 884, 40, 458

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

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Greatest Common Divisior

We found the divisors of 736, 884, 40, 458 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 884, 40, 458 is 2.

Therefore, GCD of numbers 736, 884, 40, 458 is 2

Given Input Data is 736, 884, 40, 458

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 458 is 2 x 229

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(736, 884) = 162656

GCD(736, 884) = ( 736 x 884 ) / 162656

GCD(736, 884) = 650624 / 162656

GCD(736, 884) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 40

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

LCM(4, 40) = 40

GCD(4, 40) = ( 4 x 40 ) / 40

GCD(4, 40) = 160 / 40

GCD(4, 40) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 458

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

LCM(4, 458) = 916

GCD(4, 458) = ( 4 x 458 ) / 916

GCD(4, 458) = 1832 / 916

GCD(4, 458) = 2

GCD of 736, 884, 40, 458 is 2

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1. What is the GCD of 736, 884, 40, 458?

GCD of 736, 884, 40, 458 is 2

2. Where do I get the detailed procedure to find GCD of 736, 884, 40, 458?

You can find a detailed procedure to find GCD of 736, 884, 40, 458 on our page.

3. How to find GCD of 736, 884, 40, 458 on a calculator?

You can find the GCD of 736, 884, 40, 458 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.