GCD of 342, 125, 295, 303 Calculator

Given Input numbers are 342, 125, 295, 303

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 342, 125, 295, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 125, 295, 303 is 1.

Therefore, GCD of numbers 342, 125, 295, 303 is 1

Given Input Data is 342, 125, 295, 303

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 295 is 5 x 59

Prime Factorization of 303 is 3 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(342, 125) = 42750

GCD(342, 125) = ( 342 x 125 ) / 42750

GCD(342, 125) = 42750 / 42750

GCD(342, 125) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

GCD of 342, 125, 295, 303 is 1

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1. What is the GCD of 342, 125, 295, 303?

GCD of 342, 125, 295, 303 is 1

2. Where do I get the detailed procedure to find GCD of 342, 125, 295, 303?

You can find a detailed procedure to find GCD of 342, 125, 295, 303 on our page.

3. How to find GCD of 342, 125, 295, 303 on a calculator?

You can find the GCD of 342, 125, 295, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.