GCD of 175, 440, 97, 309 Calculator

Given Input numbers are 175, 440, 97, 309

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

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

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 175, 440, 97, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 440, 97, 309 is 1.

Therefore, GCD of numbers 175, 440, 97, 309 is 1

Given Input Data is 175, 440, 97, 309

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

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 97 is 97

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(175, 440) = 15400

GCD(175, 440) = ( 175 x 440 ) / 15400

GCD(175, 440) = 77000 / 15400

GCD(175, 440) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 97

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

LCM(5, 97) = 485

GCD(5, 97) = ( 5 x 97 ) / 485

GCD(5, 97) = 485 / 485

GCD(5, 97) = 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 175, 440, 97, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 328, 69, 116
• GCD of 686, 571, 75, 606
• GCD of 669, 269, 57, 709
• GCD of 213, 608, 99, 502
• GCD of 439, 558, 83, 768

1. What is the GCD of 175, 440, 97, 309?

GCD of 175, 440, 97, 309 is 1

2. Where do I get the detailed procedure to find GCD of 175, 440, 97, 309?

You can find a detailed procedure to find GCD of 175, 440, 97, 309 on our page.

3. How to find GCD of 175, 440, 97, 309 on a calculator?

You can find the GCD of 175, 440, 97, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.