GCD of 19, 121, 618, 703 Calculator

Given Input numbers are 19, 121, 618, 703

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 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Greatest Common Divisior

We found the divisors of 19, 121, 618, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 121, 618, 703 is 1.

Therefore, GCD of numbers 19, 121, 618, 703 is 1

Given Input Data is 19, 121, 618, 703

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

Prime Factorization of 19 is 19

Prime Factorization of 121 is 11 x 11

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 703 is 19 x 37

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, 121) = 2299

GCD(19, 121) = ( 19 x 121 ) / 2299

GCD(19, 121) = 2299 / 2299

GCD(19, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 618

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

LCM(1, 618) = 618

GCD(1, 618) = ( 1 x 618 ) / 618

GCD(1, 618) = 618 / 618

GCD(1, 618) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

GCD of 19, 121, 618, 703 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 77, 618, 471, 499
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• GCD of 32, 266, 901, 747
• GCD of 43, 950, 844, 414
• GCD of 46, 744, 562, 209

1. What is the GCD of 19, 121, 618, 703?

GCD of 19, 121, 618, 703 is 1

2. Where do I get the detailed procedure to find GCD of 19, 121, 618, 703?

You can find a detailed procedure to find GCD of 19, 121, 618, 703 on our page.

3. How to find GCD of 19, 121, 618, 703 on a calculator?

You can find the GCD of 19, 121, 618, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.