GCD of 513, 948, 41, 998 Calculator

Given Input numbers are 513, 948, 41, 998

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

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 513, 948, 41, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 948, 41, 998 is 1.

Therefore, GCD of numbers 513, 948, 41, 998 is 1

Given Input Data is 513, 948, 41, 998

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 41 is 41

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(513, 948) = 162108

GCD(513, 948) = ( 513 x 948 ) / 162108

GCD(513, 948) = 486324 / 162108

GCD(513, 948) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 41

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

LCM(3, 41) = 123

GCD(3, 41) = ( 3 x 41 ) / 123

GCD(3, 41) = 123 / 123

GCD(3, 41) = 1

Step3:

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 513, 948, 41, 998 is 1

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1. What is the GCD of 513, 948, 41, 998?

GCD of 513, 948, 41, 998 is 1

2. Where do I get the detailed procedure to find GCD of 513, 948, 41, 998?

You can find a detailed procedure to find GCD of 513, 948, 41, 998 on our page.

3. How to find GCD of 513, 948, 41, 998 on a calculator?

You can find the GCD of 513, 948, 41, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.