GCD of 154, 309, 71, 307 Calculator

Given Input numbers are 154, 309, 71, 307

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 309

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

1, 3, 103, 309

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 154, 309, 71, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 309, 71, 307 is 1.

Therefore, GCD of numbers 154, 309, 71, 307 is 1

Given Input Data is 154, 309, 71, 307

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 309 is 3 x 103

Prime Factorization of 71 is 71

Prime Factorization of 307 is 307

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(154, 309) = 47586

GCD(154, 309) = ( 154 x 309 ) / 47586

GCD(154, 309) = 47586 / 47586

GCD(154, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

GCD of 154, 309, 71, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 377, 436, 64, 108
• GCD of 882, 585, 78, 698
• GCD of 719, 652, 91, 416
• GCD of 114, 767, 23, 660
• GCD of 801, 738, 16, 648

1. What is the GCD of 154, 309, 71, 307?

GCD of 154, 309, 71, 307 is 1

2. Where do I get the detailed procedure to find GCD of 154, 309, 71, 307?

You can find a detailed procedure to find GCD of 154, 309, 71, 307 on our page.

3. How to find GCD of 154, 309, 71, 307 on a calculator?

You can find the GCD of 154, 309, 71, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.