GCD of 998, 642, 77, 213 Calculator

Given Input numbers are 998, 642, 77, 213

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

Divisors of 998

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

1, 2, 499, 998

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 998, 642, 77, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 642, 77, 213 is 1.

Therefore, GCD of numbers 998, 642, 77, 213 is 1

Given Input Data is 998, 642, 77, 213

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 77 is 7 x 11

Prime Factorization of 213 is 3 x 71

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(998, 642) = 320358

GCD(998, 642) = ( 998 x 642 ) / 320358

GCD(998, 642) = 640716 / 320358

GCD(998, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 998, 642, 77, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 426, 17, 945
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• GCD of 552, 113, 16, 271
• GCD of 348, 673, 80, 928
• GCD of 128, 435, 47, 293

1. What is the GCD of 998, 642, 77, 213?

GCD of 998, 642, 77, 213 is 1

2. Where do I get the detailed procedure to find GCD of 998, 642, 77, 213?

You can find a detailed procedure to find GCD of 998, 642, 77, 213 on our page.

3. How to find GCD of 998, 642, 77, 213 on a calculator?

You can find the GCD of 998, 642, 77, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.