GCD of 989, 797, 853, 343 Calculator

Given Input numbers are 989, 797, 853, 343

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 989, 797, 853, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 797, 853, 343 is 1.

Therefore, GCD of numbers 989, 797, 853, 343 is 1

Given Input Data is 989, 797, 853, 343

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 797 is 797

Prime Factorization of 853 is 853

Prime Factorization of 343 is 7 x 7 x 7

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(989, 797) = 788233

GCD(989, 797) = ( 989 x 797 ) / 788233

GCD(989, 797) = 788233 / 788233

GCD(989, 797) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 989, 797, 853, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 830, 797, 194
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• GCD of 626, 260, 420, 787

1. What is the GCD of 989, 797, 853, 343?

GCD of 989, 797, 853, 343 is 1

2. Where do I get the detailed procedure to find GCD of 989, 797, 853, 343?

You can find a detailed procedure to find GCD of 989, 797, 853, 343 on our page.

3. How to find GCD of 989, 797, 853, 343 on a calculator?

You can find the GCD of 989, 797, 853, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.