GCD of 204, 510, 742, 734 Calculator

Given Input numbers are 204, 510, 742, 734

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 204, 510, 742, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 510, 742, 734 is 2.

Therefore, GCD of numbers 204, 510, 742, 734 is 2

Given Input Data is 204, 510, 742, 734

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 734 is 2 x 367

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(204, 510) = 1020

GCD(204, 510) = ( 204 x 510 ) / 1020

GCD(204, 510) = 104040 / 1020

GCD(204, 510) = 102

Step2:

Here we consider the GCD from the above i.e. 102 as first number and the next as 742

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

LCM(102, 742) = 37842

GCD(102, 742) = ( 102 x 742 ) / 37842

GCD(102, 742) = 75684 / 37842

GCD(102, 742) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

GCD of 204, 510, 742, 734 is 2

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1. What is the GCD of 204, 510, 742, 734?

GCD of 204, 510, 742, 734 is 2

2. Where do I get the detailed procedure to find GCD of 204, 510, 742, 734?

You can find a detailed procedure to find GCD of 204, 510, 742, 734 on our page.

3. How to find GCD of 204, 510, 742, 734 on a calculator?

You can find the GCD of 204, 510, 742, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.