GCD of 230, 548, 825, 149 Calculator

Given Input numbers are 230, 548, 825, 149

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

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

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 149

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

1, 149

Greatest Common Divisior

We found the divisors of 230, 548, 825, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 548, 825, 149 is 1.

Therefore, GCD of numbers 230, 548, 825, 149 is 1

Given Input Data is 230, 548, 825, 149

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

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 548 is 2 x 2 x 137

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

Prime Factorization of 149 is 149

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(230, 548) = 63020

GCD(230, 548) = ( 230 x 548 ) / 63020

GCD(230, 548) = 126040 / 63020

GCD(230, 548) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 825

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

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

GCD(2, 825) = 1650 / 1650

GCD(2, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 230, 548, 825, 149 is 1

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1. What is the GCD of 230, 548, 825, 149?

GCD of 230, 548, 825, 149 is 1

2. Where do I get the detailed procedure to find GCD of 230, 548, 825, 149?

You can find a detailed procedure to find GCD of 230, 548, 825, 149 on our page.

3. How to find GCD of 230, 548, 825, 149 on a calculator?

You can find the GCD of 230, 548, 825, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.