GCD of 674, 868, 674, 506 Calculator

Given Input numbers are 674, 868, 674, 506

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

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 674, 868, 674, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 868, 674, 506 is 2.

Therefore, GCD of numbers 674, 868, 674, 506 is 2

Given Input Data is 674, 868, 674, 506

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

Prime Factorization of 674 is 2 x 337

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 674 is 2 x 337

Prime Factorization of 506 is 2 x 11 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(674, 868) = 292516

GCD(674, 868) = ( 674 x 868 ) / 292516

GCD(674, 868) = 585032 / 292516

GCD(674, 868) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 674

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

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

GCD(2, 674) = 1348 / 674

GCD(2, 674) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 506

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

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

GCD(2, 506) = 1012 / 506

GCD(2, 506) = 2

GCD of 674, 868, 674, 506 is 2

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1. What is the GCD of 674, 868, 674, 506?

GCD of 674, 868, 674, 506 is 2

2. Where do I get the detailed procedure to find GCD of 674, 868, 674, 506?

You can find a detailed procedure to find GCD of 674, 868, 674, 506 on our page.

3. How to find GCD of 674, 868, 674, 506 on a calculator?

You can find the GCD of 674, 868, 674, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.