GCD of 286, 725, 75, 142 Calculator

Given Input numbers are 286, 725, 75, 142

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 142

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

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 286, 725, 75, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 725, 75, 142 is 1.

Therefore, GCD of numbers 286, 725, 75, 142 is 1

Given Input Data is 286, 725, 75, 142

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 142 is 2 x 71

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(286, 725) = 207350

GCD(286, 725) = ( 286 x 725 ) / 207350

GCD(286, 725) = 207350 / 207350

GCD(286, 725) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 286, 725, 75, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 455, 62, 660
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1. What is the GCD of 286, 725, 75, 142?

GCD of 286, 725, 75, 142 is 1

2. Where do I get the detailed procedure to find GCD of 286, 725, 75, 142?

You can find a detailed procedure to find GCD of 286, 725, 75, 142 on our page.

3. How to find GCD of 286, 725, 75, 142 on a calculator?

You can find the GCD of 286, 725, 75, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.