GCD of 142, 319, 287, 956 Calculator

Given Input numbers are 142, 319, 287, 956

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 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 142, 319, 287, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 319, 287, 956 is 1.

Therefore, GCD of numbers 142, 319, 287, 956 is 1

Given Input Data is 142, 319, 287, 956

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 319 is 11 x 29

Prime Factorization of 287 is 7 x 41

Prime Factorization of 956 is 2 x 2 x 239

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, 319) = 45298

GCD(142, 319) = ( 142 x 319 ) / 45298

GCD(142, 319) = 45298 / 45298

GCD(142, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 287

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

LCM(1, 287) = 287

GCD(1, 287) = ( 1 x 287 ) / 287

GCD(1, 287) = 287 / 287

GCD(1, 287) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 142, 319, 287, 956 is 1

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1. What is the GCD of 142, 319, 287, 956?

GCD of 142, 319, 287, 956 is 1

2. Where do I get the detailed procedure to find GCD of 142, 319, 287, 956?

You can find a detailed procedure to find GCD of 142, 319, 287, 956 on our page.

3. How to find GCD of 142, 319, 287, 956 on a calculator?

You can find the GCD of 142, 319, 287, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.