GCD of 146, 264, 625, 309 Calculator

Given Input numbers are 146, 264, 625, 309

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 309

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

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 146, 264, 625, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 264, 625, 309 is 1.

Therefore, GCD of numbers 146, 264, 625, 309 is 1

Given Input Data is 146, 264, 625, 309

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 309 is 3 x 103

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(146, 264) = 19272

GCD(146, 264) = ( 146 x 264 ) / 19272

GCD(146, 264) = 38544 / 19272

GCD(146, 264) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 625

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

LCM(2, 625) = 1250

GCD(2, 625) = ( 2 x 625 ) / 1250

GCD(2, 625) = 1250 / 1250

GCD(2, 625) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 146, 264, 625, 309 is 1

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1. What is the GCD of 146, 264, 625, 309?

GCD of 146, 264, 625, 309 is 1

2. Where do I get the detailed procedure to find GCD of 146, 264, 625, 309?

You can find a detailed procedure to find GCD of 146, 264, 625, 309 on our page.

3. How to find GCD of 146, 264, 625, 309 on a calculator?

You can find the GCD of 146, 264, 625, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.