GCD of 869, 100, 36, 853 Calculator

Given Input numbers are 869, 100, 36, 853

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

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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 869, 100, 36, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 869, 100, 36, 853 is 1.

Therefore, GCD of numbers 869, 100, 36, 853 is 1

Given Input Data is 869, 100, 36, 853

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

Prime Factorization of 869 is 11 x 79

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 36 is 2 x 2 x 3 x 3

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(869, 100) = 86900

GCD(869, 100) = ( 869 x 100 ) / 86900

GCD(869, 100) = 86900 / 86900

GCD(869, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 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 869, 100, 36, 853 is 1

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• GCD of 306, 309, 50, 863
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1. What is the GCD of 869, 100, 36, 853?

GCD of 869, 100, 36, 853 is 1

2. Where do I get the detailed procedure to find GCD of 869, 100, 36, 853?

You can find a detailed procedure to find GCD of 869, 100, 36, 853 on our page.

3. How to find GCD of 869, 100, 36, 853 on a calculator?

You can find the GCD of 869, 100, 36, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.