GCD of 253, 149, 385, 825 Calculator

Given Input numbers are 253, 149, 385, 825

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

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

Greatest Common Divisior

We found the divisors of 253, 149, 385, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 149, 385, 825 is 1.

Therefore, GCD of numbers 253, 149, 385, 825 is 1

Given Input Data is 253, 149, 385, 825

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 149 is 149

Prime Factorization of 385 is 5 x 7 x 11

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

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(253, 149) = 37697

GCD(253, 149) = ( 253 x 149 ) / 37697

GCD(253, 149) = 37697 / 37697

GCD(253, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 385

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

LCM(1, 385) = 385

GCD(1, 385) = ( 1 x 385 ) / 385

GCD(1, 385) = 385 / 385

GCD(1, 385) = 1

Step3:

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

GCD of 253, 149, 385, 825 is 1

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1. What is the GCD of 253, 149, 385, 825?

GCD of 253, 149, 385, 825 is 1

2. Where do I get the detailed procedure to find GCD of 253, 149, 385, 825?

You can find a detailed procedure to find GCD of 253, 149, 385, 825 on our page.

3. How to find GCD of 253, 149, 385, 825 on a calculator?

You can find the GCD of 253, 149, 385, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.