GCD of 628, 874, 31, 474 Calculator

Given Input numbers are 628, 874, 31, 474

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

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 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 628, 874, 31, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 874, 31, 474 is 1.

Therefore, GCD of numbers 628, 874, 31, 474 is 1

Given Input Data is 628, 874, 31, 474

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 31 is 31

Prime Factorization of 474 is 2 x 3 x 79

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(628, 874) = 274436

GCD(628, 874) = ( 628 x 874 ) / 274436

GCD(628, 874) = 548872 / 274436

GCD(628, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 628, 874, 31, 474 is 1

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• GCD of 238, 890, 22, 708
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1. What is the GCD of 628, 874, 31, 474?

GCD of 628, 874, 31, 474 is 1

2. Where do I get the detailed procedure to find GCD of 628, 874, 31, 474?

You can find a detailed procedure to find GCD of 628, 874, 31, 474 on our page.

3. How to find GCD of 628, 874, 31, 474 on a calculator?

You can find the GCD of 628, 874, 31, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.