GCD of 510, 580, 25, 414 Calculator

Given Input numbers are 510, 580, 25, 414

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 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 510, 580, 25, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 580, 25, 414 is 1.

Therefore, GCD of numbers 510, 580, 25, 414 is 1

Given Input Data is 510, 580, 25, 414

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 580 is 2 x 2 x 5 x 29

Prime Factorization of 25 is 5 x 5

Prime Factorization of 414 is 2 x 3 x 3 x 23

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, 580) = 29580

GCD(510, 580) = ( 510 x 580 ) / 29580

GCD(510, 580) = 295800 / 29580

GCD(510, 580) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 25

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

LCM(10, 25) = 50

GCD(10, 25) = ( 10 x 25 ) / 50

GCD(10, 25) = 250 / 50

GCD(10, 25) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 414

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

LCM(5, 414) = 2070

GCD(5, 414) = ( 5 x 414 ) / 2070

GCD(5, 414) = 2070 / 2070

GCD(5, 414) = 1

GCD of 510, 580, 25, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 511, 34, 632
• GCD of 933, 562, 60, 237
• GCD of 834, 188, 21, 138
• GCD of 399, 299, 40, 491
• GCD of 727, 739, 22, 962

1. What is the GCD of 510, 580, 25, 414?

GCD of 510, 580, 25, 414 is 1

2. Where do I get the detailed procedure to find GCD of 510, 580, 25, 414?

You can find a detailed procedure to find GCD of 510, 580, 25, 414 on our page.

3. How to find GCD of 510, 580, 25, 414 on a calculator?

You can find the GCD of 510, 580, 25, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.