GCD of 874, 154, 46, 581 Calculator

Given Input numbers are 874, 154, 46, 581

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 874, 154, 46, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 154, 46, 581 is 1.

Therefore, GCD of numbers 874, 154, 46, 581 is 1

Given Input Data is 874, 154, 46, 581

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 154 is 2 x 7 x 11

Prime Factorization of 46 is 2 x 23

Prime Factorization of 581 is 7 x 83

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, 154) = 67298

GCD(874, 154) = ( 874 x 154 ) / 67298

GCD(874, 154) = 134596 / 67298

GCD(874, 154) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 581

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

LCM(2, 581) = 1162

GCD(2, 581) = ( 2 x 581 ) / 1162

GCD(2, 581) = 1162 / 1162

GCD(2, 581) = 1

GCD of 874, 154, 46, 581 is 1

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1. What is the GCD of 874, 154, 46, 581?

GCD of 874, 154, 46, 581 is 1

2. Where do I get the detailed procedure to find GCD of 874, 154, 46, 581?

You can find a detailed procedure to find GCD of 874, 154, 46, 581 on our page.

3. How to find GCD of 874, 154, 46, 581 on a calculator?

You can find the GCD of 874, 154, 46, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.