GCD of 825, 635, 86, 301 Calculator

Given Input numbers are 825, 635, 86, 301

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

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 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Greatest Common Divisior

We found the divisors of 825, 635, 86, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 635, 86, 301 is 1.

Therefore, GCD of numbers 825, 635, 86, 301 is 1

Given Input Data is 825, 635, 86, 301

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

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

Prime Factorization of 635 is 5 x 127

Prime Factorization of 86 is 2 x 43

Prime Factorization of 301 is 7 x 43

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(825, 635) = 104775

GCD(825, 635) = ( 825 x 635 ) / 104775

GCD(825, 635) = 523875 / 104775

GCD(825, 635) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 86

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

LCM(5, 86) = 430

GCD(5, 86) = ( 5 x 86 ) / 430

GCD(5, 86) = 430 / 430

GCD(5, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

GCD of 825, 635, 86, 301 is 1

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1. What is the GCD of 825, 635, 86, 301?

GCD of 825, 635, 86, 301 is 1

2. Where do I get the detailed procedure to find GCD of 825, 635, 86, 301?

You can find a detailed procedure to find GCD of 825, 635, 86, 301 on our page.

3. How to find GCD of 825, 635, 86, 301 on a calculator?

You can find the GCD of 825, 635, 86, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.