GCD of 998, 677, 59, 469 Calculator

Given Input numbers are 998, 677, 59, 469

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 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Greatest Common Divisior

We found the divisors of 998, 677, 59, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 677, 59, 469 is 1.

Therefore, GCD of numbers 998, 677, 59, 469 is 1

Given Input Data is 998, 677, 59, 469

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 677 is 677

Prime Factorization of 59 is 59

Prime Factorization of 469 is 7 x 67

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, 677) = 675646

GCD(998, 677) = ( 998 x 677 ) / 675646

GCD(998, 677) = 675646 / 675646

GCD(998, 677) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 469

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

LCM(1, 469) = 469

GCD(1, 469) = ( 1 x 469 ) / 469

GCD(1, 469) = 469 / 469

GCD(1, 469) = 1

GCD of 998, 677, 59, 469 is 1

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1. What is the GCD of 998, 677, 59, 469?

GCD of 998, 677, 59, 469 is 1

2. Where do I get the detailed procedure to find GCD of 998, 677, 59, 469?

You can find a detailed procedure to find GCD of 998, 677, 59, 469 on our page.

3. How to find GCD of 998, 677, 59, 469 on a calculator?

You can find the GCD of 998, 677, 59, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.