GCD of 874, 724, 43, 468 Calculator

Given Input numbers are 874, 724, 43, 468

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 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 874, 724, 43, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 724, 43, 468 is 1.

Therefore, GCD of numbers 874, 724, 43, 468 is 1

Given Input Data is 874, 724, 43, 468

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 724 is 2 x 2 x 181

Prime Factorization of 43 is 43

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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, 724) = 316388

GCD(874, 724) = ( 874 x 724 ) / 316388

GCD(874, 724) = 632776 / 316388

GCD(874, 724) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 43

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

LCM(2, 43) = 86

GCD(2, 43) = ( 2 x 43 ) / 86

GCD(2, 43) = 86 / 86

GCD(2, 43) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 874, 724, 43, 468 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 237, 12, 452
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• GCD of 600, 855, 68, 678
• GCD of 165, 600, 51, 212

1. What is the GCD of 874, 724, 43, 468?

GCD of 874, 724, 43, 468 is 1

2. Where do I get the detailed procedure to find GCD of 874, 724, 43, 468?

You can find a detailed procedure to find GCD of 874, 724, 43, 468 on our page.

3. How to find GCD of 874, 724, 43, 468 on a calculator?

You can find the GCD of 874, 724, 43, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.