GCD of 306, 123, 945, 725 Calculator

Given Input numbers are 306, 123, 945, 725

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 306, 123, 945, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 123, 945, 725 is 1.

Therefore, GCD of numbers 306, 123, 945, 725 is 1

Given Input Data is 306, 123, 945, 725

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 123 is 3 x 41

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 725 is 5 x 5 x 29

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(306, 123) = 12546

GCD(306, 123) = ( 306 x 123 ) / 12546

GCD(306, 123) = 37638 / 12546

GCD(306, 123) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 945

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

LCM(3, 945) = 945

GCD(3, 945) = ( 3 x 945 ) / 945

GCD(3, 945) = 2835 / 945

GCD(3, 945) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 725

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

LCM(3, 725) = 2175

GCD(3, 725) = ( 3 x 725 ) / 2175

GCD(3, 725) = 2175 / 2175

GCD(3, 725) = 1

GCD of 306, 123, 945, 725 is 1

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1. What is the GCD of 306, 123, 945, 725?

GCD of 306, 123, 945, 725 is 1

2. Where do I get the detailed procedure to find GCD of 306, 123, 945, 725?

You can find a detailed procedure to find GCD of 306, 123, 945, 725 on our page.

3. How to find GCD of 306, 123, 945, 725 on a calculator?

You can find the GCD of 306, 123, 945, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.