GCD of 157, 300, 998 Calculator

Given Input numbers are 157, 300, 998

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

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

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 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 157, 300, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 300, 998 is 1.

Therefore, GCD of numbers 157, 300, 998 is 1

Given Input Data is 157, 300, 998

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

Prime Factorization of 157 is 157

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

Prime Factorization of 998 is 2 x 499

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(157, 300) = 47100

GCD(157, 300) = ( 157 x 300 ) / 47100

GCD(157, 300) = 47100 / 47100

GCD(157, 300) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 157, 300, 998 is 1

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• GCD of 301, 422, 464
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1. What is the GCD of 157, 300, 998?

GCD of 157, 300, 998 is 1

2. Where do I get the detailed procedure to find GCD of 157, 300, 998?

You can find a detailed procedure to find GCD of 157, 300, 998 on our page.

3. How to find GCD of 157, 300, 998 on a calculator?

You can find the GCD of 157, 300, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.