GCD of 987, 955, 825, 853 Calculator

Given Input numbers are 987, 955, 825, 853

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 987, 955, 825, 853 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 955, 825, 853 is 1.

Therefore, GCD of numbers 987, 955, 825, 853 is 1

Given Input Data is 987, 955, 825, 853

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 955 is 5 x 191

Prime Factorization of 825 is 3 x 5 x 5 x 11

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(987, 955) = 942585

GCD(987, 955) = ( 987 x 955 ) / 942585

GCD(987, 955) = 942585 / 942585

GCD(987, 955) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 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 987, 955, 825, 853 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 352, 307, 554
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• GCD of 279, 720, 718, 266

1. What is the GCD of 987, 955, 825, 853?

GCD of 987, 955, 825, 853 is 1

2. Where do I get the detailed procedure to find GCD of 987, 955, 825, 853?

You can find a detailed procedure to find GCD of 987, 955, 825, 853 on our page.

3. How to find GCD of 987, 955, 825, 853 on a calculator?

You can find the GCD of 987, 955, 825, 853 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.