GCD of 19, 743, 680, 665 Calculator

Given Input numbers are 19, 743, 680, 665

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

Divisors of 19

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

1, 19

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Greatest Common Divisior

We found the divisors of 19, 743, 680, 665 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 743, 680, 665 is 1.

Therefore, GCD of numbers 19, 743, 680, 665 is 1

Given Input Data is 19, 743, 680, 665

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

Prime Factorization of 19 is 19

Prime Factorization of 743 is 743

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 665 is 5 x 7 x 19

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(19, 743) = 14117

GCD(19, 743) = ( 19 x 743 ) / 14117

GCD(19, 743) = 14117 / 14117

GCD(19, 743) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 665

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

LCM(1, 665) = 665

GCD(1, 665) = ( 1 x 665 ) / 665

GCD(1, 665) = 665 / 665

GCD(1, 665) = 1

GCD of 19, 743, 680, 665 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 977, 735, 879
• GCD of 28, 611, 818, 685
• GCD of 39, 532, 877, 477
• GCD of 73, 778, 885, 585
• GCD of 71, 461, 768, 566

1. What is the GCD of 19, 743, 680, 665?

GCD of 19, 743, 680, 665 is 1

2. Where do I get the detailed procedure to find GCD of 19, 743, 680, 665?

You can find a detailed procedure to find GCD of 19, 743, 680, 665 on our page.

3. How to find GCD of 19, 743, 680, 665 on a calculator?

You can find the GCD of 19, 743, 680, 665 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.