GCD of 987, 134, 999, 294 Calculator

Given Input numbers are 987, 134, 999, 294

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

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

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

Greatest Common Divisior

We found the divisors of 987, 134, 999, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 134, 999, 294 is 1.

Therefore, GCD of numbers 987, 134, 999, 294 is 1

Given Input Data is 987, 134, 999, 294

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 134 is 2 x 67

Prime Factorization of 999 is 3 x 3 x 3 x 37

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

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(987, 134) = 132258

GCD(987, 134) = ( 987 x 134 ) / 132258

GCD(987, 134) = 132258 / 132258

GCD(987, 134) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 999

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

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

GCD(1, 999) = 999 / 999

GCD(1, 999) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 987, 134, 999, 294 is 1

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1. What is the GCD of 987, 134, 999, 294?

GCD of 987, 134, 999, 294 is 1

2. Where do I get the detailed procedure to find GCD of 987, 134, 999, 294?

You can find a detailed procedure to find GCD of 987, 134, 999, 294 on our page.

3. How to find GCD of 987, 134, 999, 294 on a calculator?

You can find the GCD of 987, 134, 999, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.