GCD of 40, 128, 916, 424 Calculator

Given Input numbers are 40, 128, 916, 424

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

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 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Greatest Common Divisior

We found the divisors of 40, 128, 916, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 128, 916, 424 is 4.

Therefore, GCD of numbers 40, 128, 916, 424 is 4

Given Input Data is 40, 128, 916, 424

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

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

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 424 is 2 x 2 x 2 x 53

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(40, 128) = 640

GCD(40, 128) = ( 40 x 128 ) / 640

GCD(40, 128) = 5120 / 640

GCD(40, 128) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 916

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

LCM(8, 916) = 1832

GCD(8, 916) = ( 8 x 916 ) / 1832

GCD(8, 916) = 7328 / 1832

GCD(8, 916) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 424

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

LCM(4, 424) = 424

GCD(4, 424) = ( 4 x 424 ) / 424

GCD(4, 424) = 1696 / 424

GCD(4, 424) = 4

GCD of 40, 128, 916, 424 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 476, 646, 115
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• GCD of 22, 407, 757, 993
• GCD of 74, 429, 540, 896
• GCD of 73, 340, 334, 895

1. What is the GCD of 40, 128, 916, 424?

GCD of 40, 128, 916, 424 is 4

2. Where do I get the detailed procedure to find GCD of 40, 128, 916, 424?

You can find a detailed procedure to find GCD of 40, 128, 916, 424 on our page.

3. How to find GCD of 40, 128, 916, 424 on a calculator?

You can find the GCD of 40, 128, 916, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.