GCD of 625, 616, 19, 491 Calculator

Given Input numbers are 625, 616, 19, 491

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

Divisors of 625

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

1, 5, 25, 125, 625

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Greatest Common Divisior

We found the divisors of 625, 616, 19, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 616, 19, 491 is 1.

Therefore, GCD of numbers 625, 616, 19, 491 is 1

Given Input Data is 625, 616, 19, 491

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

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 19 is 19

Prime Factorization of 491 is 491

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(625, 616) = 385000

GCD(625, 616) = ( 625 x 616 ) / 385000

GCD(625, 616) = 385000 / 385000

GCD(625, 616) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 491

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

LCM(1, 491) = 491

GCD(1, 491) = ( 1 x 491 ) / 491

GCD(1, 491) = 491 / 491

GCD(1, 491) = 1

GCD of 625, 616, 19, 491 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 374, 76, 665
• GCD of 919, 520, 29, 431
• GCD of 969, 738, 81, 258
• GCD of 928, 149, 86, 676
• GCD of 851, 286, 38, 378

1. What is the GCD of 625, 616, 19, 491?

GCD of 625, 616, 19, 491 is 1

2. Where do I get the detailed procedure to find GCD of 625, 616, 19, 491?

You can find a detailed procedure to find GCD of 625, 616, 19, 491 on our page.

3. How to find GCD of 625, 616, 19, 491 on a calculator?

You can find the GCD of 625, 616, 19, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.