GCD of 145, 294, 465, 285 Calculator

Given Input numbers are 145, 294, 465, 285

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 145, 294, 465, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 294, 465, 285 is 1.

Therefore, GCD of numbers 145, 294, 465, 285 is 1

Given Input Data is 145, 294, 465, 285

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 285 is 3 x 5 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(145, 294) = 42630

GCD(145, 294) = ( 145 x 294 ) / 42630

GCD(145, 294) = 42630 / 42630

GCD(145, 294) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 285

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

LCM(1, 285) = 285

GCD(1, 285) = ( 1 x 285 ) / 285

GCD(1, 285) = 285 / 285

GCD(1, 285) = 1

GCD of 145, 294, 465, 285 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 598, 699, 692
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1. What is the GCD of 145, 294, 465, 285?

GCD of 145, 294, 465, 285 is 1

2. Where do I get the detailed procedure to find GCD of 145, 294, 465, 285?

You can find a detailed procedure to find GCD of 145, 294, 465, 285 on our page.

3. How to find GCD of 145, 294, 465, 285 on a calculator?

You can find the GCD of 145, 294, 465, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.