GCD of 987, 547, 957, 990 Calculator

Given Input numbers are 987, 547, 957, 990

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 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 987, 547, 957, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 547, 957, 990 is 1.

Therefore, GCD of numbers 987, 547, 957, 990 is 1

Given Input Data is 987, 547, 957, 990

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 547 is 547

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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, 547) = 539889

GCD(987, 547) = ( 987 x 547 ) / 539889

GCD(987, 547) = 539889 / 539889

GCD(987, 547) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 957

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

LCM(1, 957) = 957

GCD(1, 957) = ( 1 x 957 ) / 957

GCD(1, 957) = 957 / 957

GCD(1, 957) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 987, 547, 957, 990 is 1

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1. What is the GCD of 987, 547, 957, 990?

GCD of 987, 547, 957, 990 is 1

2. Where do I get the detailed procedure to find GCD of 987, 547, 957, 990?

You can find a detailed procedure to find GCD of 987, 547, 957, 990 on our page.

3. How to find GCD of 987, 547, 957, 990 on a calculator?

You can find the GCD of 987, 547, 957, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.