GCD of 230, 692, 71, 375 Calculator

Given Input numbers are 230, 692, 71, 375

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 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 230, 692, 71, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 230, 692, 71, 375 is 1.

Therefore, GCD of numbers 230, 692, 71, 375 is 1

Given Input Data is 230, 692, 71, 375

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 692 is 2 x 2 x 173

Prime Factorization of 71 is 71

Prime Factorization of 375 is 3 x 5 x 5 x 5

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, 692) = 79580

GCD(230, 692) = ( 230 x 692 ) / 79580

GCD(230, 692) = 159160 / 79580

GCD(230, 692) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

GCD of 230, 692, 71, 375 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 177, 85, 327
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• GCD of 911, 680, 12, 782

1. What is the GCD of 230, 692, 71, 375?

GCD of 230, 692, 71, 375 is 1

2. Where do I get the detailed procedure to find GCD of 230, 692, 71, 375?

You can find a detailed procedure to find GCD of 230, 692, 71, 375 on our page.

3. How to find GCD of 230, 692, 71, 375 on a calculator?

You can find the GCD of 230, 692, 71, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.