GCD of 749, 483, 19, 705 Calculator

Given Input numbers are 749, 483, 19, 705

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 19

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

1, 19

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 749, 483, 19, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 483, 19, 705 is 1.

Therefore, GCD of numbers 749, 483, 19, 705 is 1

Given Input Data is 749, 483, 19, 705

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 19 is 19

Prime Factorization of 705 is 3 x 5 x 47

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(749, 483) = 51681

GCD(749, 483) = ( 749 x 483 ) / 51681

GCD(749, 483) = 361767 / 51681

GCD(749, 483) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 19

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

LCM(7, 19) = 133

GCD(7, 19) = ( 7 x 19 ) / 133

GCD(7, 19) = 133 / 133

GCD(7, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 749, 483, 19, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 992, 25, 181
• GCD of 644, 998, 47, 453
• GCD of 476, 814, 89, 393
• GCD of 691, 905, 16, 315
• GCD of 998, 419, 43, 533

1. What is the GCD of 749, 483, 19, 705?

GCD of 749, 483, 19, 705 is 1

2. Where do I get the detailed procedure to find GCD of 749, 483, 19, 705?

You can find a detailed procedure to find GCD of 749, 483, 19, 705 on our page.

3. How to find GCD of 749, 483, 19, 705 on a calculator?

You can find the GCD of 749, 483, 19, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.