GCD of 390, 689, 87, 852 Calculator

Given Input numbers are 390, 689, 87, 852

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 689

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

1, 13, 53, 689

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 390, 689, 87, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 689, 87, 852 is 1.

Therefore, GCD of numbers 390, 689, 87, 852 is 1

Given Input Data is 390, 689, 87, 852

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 689 is 13 x 53

Prime Factorization of 87 is 3 x 29

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(390, 689) = 20670

GCD(390, 689) = ( 390 x 689 ) / 20670

GCD(390, 689) = 268710 / 20670

GCD(390, 689) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 87

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

LCM(13, 87) = 1131

GCD(13, 87) = ( 13 x 87 ) / 1131

GCD(13, 87) = 1131 / 1131

GCD(13, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 390, 689, 87, 852 is 1

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1. What is the GCD of 390, 689, 87, 852?

GCD of 390, 689, 87, 852 is 1

2. Where do I get the detailed procedure to find GCD of 390, 689, 87, 852?

You can find a detailed procedure to find GCD of 390, 689, 87, 852 on our page.

3. How to find GCD of 390, 689, 87, 852 on a calculator?

You can find the GCD of 390, 689, 87, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.