GCD of 612, 914, 309, 251 Calculator

Given Input numbers are 612, 914, 309, 251

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 612, 914, 309, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 914, 309, 251 is 1.

Therefore, GCD of numbers 612, 914, 309, 251 is 1

Given Input Data is 612, 914, 309, 251

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 914 is 2 x 457

Prime Factorization of 309 is 3 x 103

Prime Factorization of 251 is 251

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(612, 914) = 279684

GCD(612, 914) = ( 612 x 914 ) / 279684

GCD(612, 914) = 559368 / 279684

GCD(612, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 251

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

LCM(1, 251) = 251

GCD(1, 251) = ( 1 x 251 ) / 251

GCD(1, 251) = 251 / 251

GCD(1, 251) = 1

GCD of 612, 914, 309, 251 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 728, 208, 432
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• GCD of 225, 438, 219, 783

1. What is the GCD of 612, 914, 309, 251?

GCD of 612, 914, 309, 251 is 1

2. Where do I get the detailed procedure to find GCD of 612, 914, 309, 251?

You can find a detailed procedure to find GCD of 612, 914, 309, 251 on our page.

3. How to find GCD of 612, 914, 309, 251 on a calculator?

You can find the GCD of 612, 914, 309, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.