GCD of 820, 666, 689, 987 Calculator

Given Input numbers are 820, 666, 689, 987

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

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 820, 666, 689, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 666, 689, 987 is 1.

Therefore, GCD of numbers 820, 666, 689, 987 is 1

Given Input Data is 820, 666, 689, 987

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 666 is 2 x 3 x 3 x 37

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(820, 666) = 273060

GCD(820, 666) = ( 820 x 666 ) / 273060

GCD(820, 666) = 546120 / 273060

GCD(820, 666) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 689

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

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

GCD(2, 689) = 1378 / 1378

GCD(2, 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 820, 666, 689, 987 is 1

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1. What is the GCD of 820, 666, 689, 987?

GCD of 820, 666, 689, 987 is 1

2. Where do I get the detailed procedure to find GCD of 820, 666, 689, 987?

You can find a detailed procedure to find GCD of 820, 666, 689, 987 on our page.

3. How to find GCD of 820, 666, 689, 987 on a calculator?

You can find the GCD of 820, 666, 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.