GCD of 998, 983, 45, 263 Calculator

Given Input numbers are 998, 983, 45, 263

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 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Greatest Common Divisior

We found the divisors of 998, 983, 45, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 983, 45, 263 is 1.

Therefore, GCD of numbers 998, 983, 45, 263 is 1

Given Input Data is 998, 983, 45, 263

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 983 is 983

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 263 is 263

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, 983) = 981034

GCD(998, 983) = ( 998 x 983 ) / 981034

GCD(998, 983) = 981034 / 981034

GCD(998, 983) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 263

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

LCM(1, 263) = 263

GCD(1, 263) = ( 1 x 263 ) / 263

GCD(1, 263) = 263 / 263

GCD(1, 263) = 1

GCD of 998, 983, 45, 263 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 897, 591, 40, 863
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• GCD of 846, 864, 77, 115
• GCD of 417, 885, 37, 326

1. What is the GCD of 998, 983, 45, 263?

GCD of 998, 983, 45, 263 is 1

2. Where do I get the detailed procedure to find GCD of 998, 983, 45, 263?

You can find a detailed procedure to find GCD of 998, 983, 45, 263 on our page.

3. How to find GCD of 998, 983, 45, 263 on a calculator?

You can find the GCD of 998, 983, 45, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.