GCD of 998, 953, 300, 991 Calculator

Given Input numbers are 998, 953, 300, 991

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 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 998, 953, 300, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 953, 300, 991 is 1.

Therefore, GCD of numbers 998, 953, 300, 991 is 1

Given Input Data is 998, 953, 300, 991

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 953 is 953

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 991 is 991

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, 953) = 951094

GCD(998, 953) = ( 998 x 953 ) / 951094

GCD(998, 953) = 951094 / 951094

GCD(998, 953) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 998, 953, 300, 991 is 1

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• GCD of 308, 766, 434, 318
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1. What is the GCD of 998, 953, 300, 991?

GCD of 998, 953, 300, 991 is 1

2. Where do I get the detailed procedure to find GCD of 998, 953, 300, 991?

You can find a detailed procedure to find GCD of 998, 953, 300, 991 on our page.

3. How to find GCD of 998, 953, 300, 991 on a calculator?

You can find the GCD of 998, 953, 300, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.