GCD of 309, 875, 138, 275 Calculator

Given Input numbers are 309, 875, 138, 275

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 875

List of positive integer divisors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 309, 875, 138, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 875, 138, 275 is 1.

Therefore, GCD of numbers 309, 875, 138, 275 is 1

Given Input Data is 309, 875, 138, 275

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 875 is 5 x 5 x 5 x 7

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 275 is 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(309, 875) = 270375

GCD(309, 875) = ( 309 x 875 ) / 270375

GCD(309, 875) = 270375 / 270375

GCD(309, 875) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 309, 875, 138, 275 is 1

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1. What is the GCD of 309, 875, 138, 275?

GCD of 309, 875, 138, 275 is 1

2. Where do I get the detailed procedure to find GCD of 309, 875, 138, 275?

You can find a detailed procedure to find GCD of 309, 875, 138, 275 on our page.

3. How to find GCD of 309, 875, 138, 275 on a calculator?

You can find the GCD of 309, 875, 138, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.