GCD of 510, 381, 689, 625 Calculator

Given Input numbers are 510, 381, 689, 625

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 689

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

1, 13, 53, 689

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Greatest Common Divisior

We found the divisors of 510, 381, 689, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 381, 689, 625 is 1.

Therefore, GCD of numbers 510, 381, 689, 625 is 1

Given Input Data is 510, 381, 689, 625

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 381 is 3 x 127

Prime Factorization of 689 is 13 x 53

Prime Factorization of 625 is 5 x 5 x 5 x 5

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(510, 381) = 64770

GCD(510, 381) = ( 510 x 381 ) / 64770

GCD(510, 381) = 194310 / 64770

GCD(510, 381) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 689

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

LCM(3, 689) = 2067

GCD(3, 689) = ( 3 x 689 ) / 2067

GCD(3, 689) = 2067 / 2067

GCD(3, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 625

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

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

GCD(1, 625) = 625 / 625

GCD(1, 625) = 1

GCD of 510, 381, 689, 625 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 165, 532, 680
• GCD of 247, 281, 360, 954
• GCD of 439, 827, 835, 525
• GCD of 132, 409, 949, 666
• GCD of 621, 128, 145, 932

1. What is the GCD of 510, 381, 689, 625?

GCD of 510, 381, 689, 625 is 1

2. Where do I get the detailed procedure to find GCD of 510, 381, 689, 625?

You can find a detailed procedure to find GCD of 510, 381, 689, 625 on our page.

3. How to find GCD of 510, 381, 689, 625 on a calculator?

You can find the GCD of 510, 381, 689, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.