GCD of 987, 585, 48, 935 Calculator

Given Input numbers are 987, 585, 48, 935

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 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Greatest Common Divisior

We found the divisors of 987, 585, 48, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 585, 48, 935 is 1.

Therefore, GCD of numbers 987, 585, 48, 935 is 1

Given Input Data is 987, 585, 48, 935

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 585 is 3 x 3 x 5 x 13

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 935 is 5 x 11 x 17

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, 585) = 192465

GCD(987, 585) = ( 987 x 585 ) / 192465

GCD(987, 585) = 577395 / 192465

GCD(987, 585) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 48

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

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

GCD(3, 48) = 144 / 48

GCD(3, 48) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 935

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

LCM(3, 935) = 2805

GCD(3, 935) = ( 3 x 935 ) / 2805

GCD(3, 935) = 2805 / 2805

GCD(3, 935) = 1

GCD of 987, 585, 48, 935 is 1

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• GCD of 850, 320, 88, 963
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1. What is the GCD of 987, 585, 48, 935?

GCD of 987, 585, 48, 935 is 1

2. Where do I get the detailed procedure to find GCD of 987, 585, 48, 935?

You can find a detailed procedure to find GCD of 987, 585, 48, 935 on our page.

3. How to find GCD of 987, 585, 48, 935 on a calculator?

You can find the GCD of 987, 585, 48, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.