GCD of 68, 998, 100, 919 Calculator

Given Input numbers are 68, 998, 100, 919

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 68, 998, 100, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 998, 100, 919 is 1.

Therefore, GCD of numbers 68, 998, 100, 919 is 1

Given Input Data is 68, 998, 100, 919

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 998 is 2 x 499

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 919 is 919

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(68, 998) = 33932

GCD(68, 998) = ( 68 x 998 ) / 33932

GCD(68, 998) = 67864 / 33932

GCD(68, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 100

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

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

GCD(2, 100) = 200 / 100

GCD(2, 100) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 919

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

LCM(2, 919) = 1838

GCD(2, 919) = ( 2 x 919 ) / 1838

GCD(2, 919) = 1838 / 1838

GCD(2, 919) = 1

GCD of 68, 998, 100, 919 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 523, 654, 342
• GCD of 12, 580, 479, 539
• GCD of 13, 146, 287, 396
• GCD of 16, 354, 808, 146
• GCD of 95, 149, 282, 410

1. What is the GCD of 68, 998, 100, 919?

GCD of 68, 998, 100, 919 is 1

2. Where do I get the detailed procedure to find GCD of 68, 998, 100, 919?

You can find a detailed procedure to find GCD of 68, 998, 100, 919 on our page.

3. How to find GCD of 68, 998, 100, 919 on a calculator?

You can find the GCD of 68, 998, 100, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.