GCD of 825, 127, 186, 505 Calculator

Given Input numbers are 825, 127, 186, 505

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 127

List of positive integer divisors of 127 that divides 127 without a remainder.

1, 127

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 825, 127, 186, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 127, 186, 505 is 1.

Therefore, GCD of numbers 825, 127, 186, 505 is 1

Given Input Data is 825, 127, 186, 505

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 127 is 127

Prime Factorization of 186 is 2 x 3 x 31

Prime Factorization of 505 is 5 x 101

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, 127) = 104775

GCD(825, 127) = ( 825 x 127 ) / 104775

GCD(825, 127) = 104775 / 104775

GCD(825, 127) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 186

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

LCM(1, 186) = 186

GCD(1, 186) = ( 1 x 186 ) / 186

GCD(1, 186) = 186 / 186

GCD(1, 186) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 825, 127, 186, 505 is 1

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1. What is the GCD of 825, 127, 186, 505?

GCD of 825, 127, 186, 505 is 1

2. Where do I get the detailed procedure to find GCD of 825, 127, 186, 505?

You can find a detailed procedure to find GCD of 825, 127, 186, 505 on our page.

3. How to find GCD of 825, 127, 186, 505 on a calculator?

You can find the GCD of 825, 127, 186, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.