GCD of 71, 998, 658, 342 Calculator

Given Input numbers are 71, 998, 658, 342

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

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 71, 998, 658, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 998, 658, 342 is 1.

Therefore, GCD of numbers 71, 998, 658, 342 is 1

Given Input Data is 71, 998, 658, 342

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

Prime Factorization of 71 is 71

Prime Factorization of 998 is 2 x 499

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 342 is 2 x 3 x 3 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(71, 998) = 70858

GCD(71, 998) = ( 71 x 998 ) / 70858

GCD(71, 998) = 70858 / 70858

GCD(71, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 71, 998, 658, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 91, 713, 792, 498
• GCD of 45, 403, 218, 215
• GCD of 22, 603, 591, 780
• GCD of 72, 497, 900, 808
• GCD of 81, 813, 432, 478

1. What is the GCD of 71, 998, 658, 342?

GCD of 71, 998, 658, 342 is 1

2. Where do I get the detailed procedure to find GCD of 71, 998, 658, 342?

You can find a detailed procedure to find GCD of 71, 998, 658, 342 on our page.

3. How to find GCD of 71, 998, 658, 342 on a calculator?

You can find the GCD of 71, 998, 658, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.