GCD of 874, 492, 55, 334 Calculator

Given Input numbers are 874, 492, 55, 334

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 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Greatest Common Divisior

We found the divisors of 874, 492, 55, 334 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 492, 55, 334 is 1.

Therefore, GCD of numbers 874, 492, 55, 334 is 1

Given Input Data is 874, 492, 55, 334

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 492 is 2 x 2 x 3 x 41

Prime Factorization of 55 is 5 x 11

Prime Factorization of 334 is 2 x 167

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, 492) = 215004

GCD(874, 492) = ( 874 x 492 ) / 215004

GCD(874, 492) = 430008 / 215004

GCD(874, 492) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 55

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

LCM(2, 55) = 110

GCD(2, 55) = ( 2 x 55 ) / 110

GCD(2, 55) = 110 / 110

GCD(2, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 334

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

LCM(1, 334) = 334

GCD(1, 334) = ( 1 x 334 ) / 334

GCD(1, 334) = 334 / 334

GCD(1, 334) = 1

GCD of 874, 492, 55, 334 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 905, 34, 975
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• GCD of 768, 510, 43, 345
• GCD of 438, 848, 35, 817
• GCD of 380, 116, 40, 450

1. What is the GCD of 874, 492, 55, 334?

GCD of 874, 492, 55, 334 is 1

2. Where do I get the detailed procedure to find GCD of 874, 492, 55, 334?

You can find a detailed procedure to find GCD of 874, 492, 55, 334 on our page.

3. How to find GCD of 874, 492, 55, 334 on a calculator?

You can find the GCD of 874, 492, 55, 334 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.