GCD of 242, 600, 71, 998 Calculator

Given Input numbers are 242, 600, 71, 998

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 242, 600, 71, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 242, 600, 71, 998 is 1.

Therefore, GCD of numbers 242, 600, 71, 998 is 1

Given Input Data is 242, 600, 71, 998

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

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 71 is 71

Prime Factorization of 998 is 2 x 499

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(242, 600) = 72600

GCD(242, 600) = ( 242 x 600 ) / 72600

GCD(242, 600) = 145200 / 72600

GCD(242, 600) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 242, 600, 71, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 651, 52, 499
• GCD of 993, 463, 27, 438
• GCD of 762, 801, 61, 270
• GCD of 592, 509, 39, 609
• GCD of 950, 554, 61, 351

1. What is the GCD of 242, 600, 71, 998?

GCD of 242, 600, 71, 998 is 1

2. Where do I get the detailed procedure to find GCD of 242, 600, 71, 998?

You can find a detailed procedure to find GCD of 242, 600, 71, 998 on our page.

3. How to find GCD of 242, 600, 71, 998 on a calculator?

You can find the GCD of 242, 600, 71, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.