GCD of 928, 820, 55, 864 Calculator

Given Input numbers are 928, 820, 55, 864

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 928, 820, 55, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 820, 55, 864 is 1.

Therefore, GCD of numbers 928, 820, 55, 864 is 1

Given Input Data is 928, 820, 55, 864

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(928, 820) = 190240

GCD(928, 820) = ( 928 x 820 ) / 190240

GCD(928, 820) = 760960 / 190240

GCD(928, 820) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 55

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

LCM(4, 55) = 220

GCD(4, 55) = ( 4 x 55 ) / 220

GCD(4, 55) = 220 / 220

GCD(4, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 928, 820, 55, 864 is 1

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1. What is the GCD of 928, 820, 55, 864?

GCD of 928, 820, 55, 864 is 1

2. Where do I get the detailed procedure to find GCD of 928, 820, 55, 864?

You can find a detailed procedure to find GCD of 928, 820, 55, 864 on our page.

3. How to find GCD of 928, 820, 55, 864 on a calculator?

You can find the GCD of 928, 820, 55, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.