GCD of 630, 234, 254, 724 Calculator

Given Input numbers are 630, 234, 254, 724

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

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 630, 234, 254, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 630, 234, 254, 724 is 2.

Therefore, GCD of numbers 630, 234, 254, 724 is 2

Given Input Data is 630, 234, 254, 724

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

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 234 is 2 x 3 x 3 x 13

Prime Factorization of 254 is 2 x 127

Prime Factorization of 724 is 2 x 2 x 181

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(630, 234) = 8190

GCD(630, 234) = ( 630 x 234 ) / 8190

GCD(630, 234) = 147420 / 8190

GCD(630, 234) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 254

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

LCM(18, 254) = 2286

GCD(18, 254) = ( 18 x 254 ) / 2286

GCD(18, 254) = 4572 / 2286

GCD(18, 254) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 724

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

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

GCD(2, 724) = 1448 / 724

GCD(2, 724) = 2

GCD of 630, 234, 254, 724 is 2

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1. What is the GCD of 630, 234, 254, 724?

GCD of 630, 234, 254, 724 is 2

2. Where do I get the detailed procedure to find GCD of 630, 234, 254, 724?

You can find a detailed procedure to find GCD of 630, 234, 254, 724 on our page.

3. How to find GCD of 630, 234, 254, 724 on a calculator?

You can find the GCD of 630, 234, 254, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.