GCD of 124, 874, 667, 884 Calculator

Given Input numbers are 124, 874, 667, 884

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

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

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 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 124, 874, 667, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 124, 874, 667, 884 is 1.

Therefore, GCD of numbers 124, 874, 667, 884 is 1

Given Input Data is 124, 874, 667, 884

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

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 667 is 23 x 29

Prime Factorization of 884 is 2 x 2 x 13 x 17

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(124, 874) = 54188

GCD(124, 874) = ( 124 x 874 ) / 54188

GCD(124, 874) = 108376 / 54188

GCD(124, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 667

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

LCM(2, 667) = 1334

GCD(2, 667) = ( 2 x 667 ) / 1334

GCD(2, 667) = 1334 / 1334

GCD(2, 667) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 124, 874, 667, 884 is 1

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1. What is the GCD of 124, 874, 667, 884?

GCD of 124, 874, 667, 884 is 1

2. Where do I get the detailed procedure to find GCD of 124, 874, 667, 884?

You can find a detailed procedure to find GCD of 124, 874, 667, 884 on our page.

3. How to find GCD of 124, 874, 667, 884 on a calculator?

You can find the GCD of 124, 874, 667, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.