GCD of 874, 108, 513, 243 Calculator

Given Input numbers are 874, 108, 513, 243

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 874, 108, 513, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 108, 513, 243 is 1.

Therefore, GCD of numbers 874, 108, 513, 243 is 1

Given Input Data is 874, 108, 513, 243

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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(874, 108) = 47196

GCD(874, 108) = ( 874 x 108 ) / 47196

GCD(874, 108) = 94392 / 47196

GCD(874, 108) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 513

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

LCM(2, 513) = 1026

GCD(2, 513) = ( 2 x 513 ) / 1026

GCD(2, 513) = 1026 / 1026

GCD(2, 513) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

GCD of 874, 108, 513, 243 is 1

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1. What is the GCD of 874, 108, 513, 243?

GCD of 874, 108, 513, 243 is 1

2. Where do I get the detailed procedure to find GCD of 874, 108, 513, 243?

You can find a detailed procedure to find GCD of 874, 108, 513, 243 on our page.

3. How to find GCD of 874, 108, 513, 243 on a calculator?

You can find the GCD of 874, 108, 513, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.