GCD of 874, 431, 784, 914 Calculator

Given Input numbers are 874, 431, 784, 914

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 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 874, 431, 784, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 431, 784, 914 is 1.

Therefore, GCD of numbers 874, 431, 784, 914 is 1

Given Input Data is 874, 431, 784, 914

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 431 is 431

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 914 is 2 x 457

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, 431) = 376694

GCD(874, 431) = ( 874 x 431 ) / 376694

GCD(874, 431) = 376694 / 376694

GCD(874, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 784

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

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

GCD(1, 784) = 784 / 784

GCD(1, 784) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 874, 431, 784, 914 is 1

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1. What is the GCD of 874, 431, 784, 914?

GCD of 874, 431, 784, 914 is 1

2. Where do I get the detailed procedure to find GCD of 874, 431, 784, 914?

You can find a detailed procedure to find GCD of 874, 431, 784, 914 on our page.

3. How to find GCD of 874, 431, 784, 914 on a calculator?

You can find the GCD of 874, 431, 784, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.