GCD of 115, 374, 936, 820 Calculator

Given Input numbers are 115, 374, 936, 820

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 115, 374, 936, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 374, 936, 820 is 1.

Therefore, GCD of numbers 115, 374, 936, 820 is 1

Given Input Data is 115, 374, 936, 820

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

Prime Factorization of 115 is 5 x 23

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 820 is 2 x 2 x 5 x 41

The above numbers do not have any common prime factor. So GCD is 1

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(115, 374) = 43010

GCD(115, 374) = ( 115 x 374 ) / 43010

GCD(115, 374) = 43010 / 43010

GCD(115, 374) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 936

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

LCM(1, 936) = 936

GCD(1, 936) = ( 1 x 936 ) / 936

GCD(1, 936) = 936 / 936

GCD(1, 936) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 115, 374, 936, 820 is 1

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1. What is the GCD of 115, 374, 936, 820?

GCD of 115, 374, 936, 820 is 1

2. Where do I get the detailed procedure to find GCD of 115, 374, 936, 820?

You can find a detailed procedure to find GCD of 115, 374, 936, 820 on our page.

3. How to find GCD of 115, 374, 936, 820 on a calculator?

You can find the GCD of 115, 374, 936, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.