GCD of 920, 882, 32, 853 Calculator

Given Input numbers are 920, 882, 32, 853

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Greatest Common Divisior

We found the divisors of 920, 882, 32, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 882, 32, 853 is 1.

Therefore, GCD of numbers 920, 882, 32, 853 is 1

Given Input Data is 920, 882, 32, 853

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 853 is 853

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(920, 882) = 405720

GCD(920, 882) = ( 920 x 882 ) / 405720

GCD(920, 882) = 811440 / 405720

GCD(920, 882) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 853

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

LCM(2, 853) = 1706

GCD(2, 853) = ( 2 x 853 ) / 1706

GCD(2, 853) = 1706 / 1706

GCD(2, 853) = 1

GCD of 920, 882, 32, 853 is 1

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1. What is the GCD of 920, 882, 32, 853?

GCD of 920, 882, 32, 853 is 1

2. Where do I get the detailed procedure to find GCD of 920, 882, 32, 853?

You can find a detailed procedure to find GCD of 920, 882, 32, 853 on our page.

3. How to find GCD of 920, 882, 32, 853 on a calculator?

You can find the GCD of 920, 882, 32, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.