GCD of 940, 816, 20, 296 Calculator

Given Input numbers are 940, 816, 20, 296

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 940, 816, 20, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 816, 20, 296 is 4.

Therefore, GCD of numbers 940, 816, 20, 296 is 4

Given Input Data is 940, 816, 20, 296

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(940, 816) = 191760

GCD(940, 816) = ( 940 x 816 ) / 191760

GCD(940, 816) = 767040 / 191760

GCD(940, 816) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 20

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

LCM(4, 20) = 20

GCD(4, 20) = ( 4 x 20 ) / 20

GCD(4, 20) = 80 / 20

GCD(4, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 296

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

LCM(4, 296) = 296

GCD(4, 296) = ( 4 x 296 ) / 296

GCD(4, 296) = 1184 / 296

GCD(4, 296) = 4

GCD of 940, 816, 20, 296 is 4

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• GCD of 653, 341, 23, 374
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1. What is the GCD of 940, 816, 20, 296?

GCD of 940, 816, 20, 296 is 4

2. Where do I get the detailed procedure to find GCD of 940, 816, 20, 296?

You can find a detailed procedure to find GCD of 940, 816, 20, 296 on our page.

3. How to find GCD of 940, 816, 20, 296 on a calculator?

You can find the GCD of 940, 816, 20, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.