GCD of 998, 972, 810, 643 Calculator

Given Input numbers are 998, 972, 810, 643

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 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 998, 972, 810, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 972, 810, 643 is 1.

Therefore, GCD of numbers 998, 972, 810, 643 is 1

Given Input Data is 998, 972, 810, 643

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 643 is 643

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, 972) = 485028

GCD(998, 972) = ( 998 x 972 ) / 485028

GCD(998, 972) = 970056 / 485028

GCD(998, 972) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 810

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

LCM(2, 810) = 810

GCD(2, 810) = ( 2 x 810 ) / 810

GCD(2, 810) = 1620 / 810

GCD(2, 810) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 643

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

LCM(2, 643) = 1286

GCD(2, 643) = ( 2 x 643 ) / 1286

GCD(2, 643) = 1286 / 1286

GCD(2, 643) = 1

GCD of 998, 972, 810, 643 is 1

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1. What is the GCD of 998, 972, 810, 643?

GCD of 998, 972, 810, 643 is 1

2. Where do I get the detailed procedure to find GCD of 998, 972, 810, 643?

You can find a detailed procedure to find GCD of 998, 972, 810, 643 on our page.

3. How to find GCD of 998, 972, 810, 643 on a calculator?

You can find the GCD of 998, 972, 810, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.