GCD of 116, 900, 553, 853 Calculator

Given Input numbers are 116, 900, 553, 853

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

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 116, 900, 553, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 900, 553, 853 is 1.

Therefore, GCD of numbers 116, 900, 553, 853 is 1

Given Input Data is 116, 900, 553, 853

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 553 is 7 x 79

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(116, 900) = 26100

GCD(116, 900) = ( 116 x 900 ) / 26100

GCD(116, 900) = 104400 / 26100

GCD(116, 900) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 553

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

LCM(4, 553) = 2212

GCD(4, 553) = ( 4 x 553 ) / 2212

GCD(4, 553) = 2212 / 2212

GCD(4, 553) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

GCD of 116, 900, 553, 853 is 1

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• GCD of 535, 790, 992, 788
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1. What is the GCD of 116, 900, 553, 853?

GCD of 116, 900, 553, 853 is 1

2. Where do I get the detailed procedure to find GCD of 116, 900, 553, 853?

You can find a detailed procedure to find GCD of 116, 900, 553, 853 on our page.

3. How to find GCD of 116, 900, 553, 853 on a calculator?

You can find the GCD of 116, 900, 553, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.