GCD of 142, 315, 69, 304 Calculator

Given Input numbers are 142, 315, 69, 304

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 142, 315, 69, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 315, 69, 304 is 1.

Therefore, GCD of numbers 142, 315, 69, 304 is 1

Given Input Data is 142, 315, 69, 304

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 69 is 3 x 23

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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(142, 315) = 44730

GCD(142, 315) = ( 142 x 315 ) / 44730

GCD(142, 315) = 44730 / 44730

GCD(142, 315) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 142, 315, 69, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 563, 58, 855
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• GCD of 554, 435, 48, 961

1. What is the GCD of 142, 315, 69, 304?

GCD of 142, 315, 69, 304 is 1

2. Where do I get the detailed procedure to find GCD of 142, 315, 69, 304?

You can find a detailed procedure to find GCD of 142, 315, 69, 304 on our page.

3. How to find GCD of 142, 315, 69, 304 on a calculator?

You can find the GCD of 142, 315, 69, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.