GCD of 487, 996, 689, 987 Calculator

Given Input numbers are 487, 996, 689, 987

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

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 996

List of positive integer divisors of 996 that divides 996 without a remainder.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 987

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

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

Greatest Common Divisior

We found the divisors of 487, 996, 689, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 487, 996, 689, 987 is 1.

Therefore, GCD of numbers 487, 996, 689, 987 is 1

Given Input Data is 487, 996, 689, 987

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

Prime Factorization of 487 is 487

Prime Factorization of 996 is 2 x 2 x 3 x 83

Prime Factorization of 689 is 13 x 53

Prime Factorization of 987 is 3 x 7 x 47

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(487, 996) = 485052

GCD(487, 996) = ( 487 x 996 ) / 485052

GCD(487, 996) = 485052 / 485052

GCD(487, 996) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 487, 996, 689, 987 is 1

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1. What is the GCD of 487, 996, 689, 987?

GCD of 487, 996, 689, 987 is 1

2. Where do I get the detailed procedure to find GCD of 487, 996, 689, 987?

You can find a detailed procedure to find GCD of 487, 996, 689, 987 on our page.

3. How to find GCD of 487, 996, 689, 987 on a calculator?

You can find the GCD of 487, 996, 689, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.