GCD of 114, 874, 40, 843 Calculator

Given Input numbers are 114, 874, 40, 843

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

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 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 843

List of positive integer divisors of 843 that divides 843 without a remainder.

1, 3, 281, 843

Greatest Common Divisior

We found the divisors of 114, 874, 40, 843 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 874, 40, 843 is 1.

Therefore, GCD of numbers 114, 874, 40, 843 is 1

Given Input Data is 114, 874, 40, 843

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 843 is 3 x 281

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(114, 874) = 2622

GCD(114, 874) = ( 114 x 874 ) / 2622

GCD(114, 874) = 99636 / 2622

GCD(114, 874) = 38

Step2:

Here we consider the GCD from the above i.e. 38 as first number and the next as 40

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

LCM(38, 40) = 760

GCD(38, 40) = ( 38 x 40 ) / 760

GCD(38, 40) = 1520 / 760

GCD(38, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 843

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

LCM(2, 843) = 1686

GCD(2, 843) = ( 2 x 843 ) / 1686

GCD(2, 843) = 1686 / 1686

GCD(2, 843) = 1

GCD of 114, 874, 40, 843 is 1

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• GCD of 208, 480, 91, 586
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1. What is the GCD of 114, 874, 40, 843?

GCD of 114, 874, 40, 843 is 1

2. Where do I get the detailed procedure to find GCD of 114, 874, 40, 843?

You can find a detailed procedure to find GCD of 114, 874, 40, 843 on our page.

3. How to find GCD of 114, 874, 40, 843 on a calculator?

You can find the GCD of 114, 874, 40, 843 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.