GCD of 55, 374, 309, 375 Calculator

Given Input numbers are 55, 374, 309, 375

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

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 309

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

1, 3, 103, 309

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 55, 374, 309, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 374, 309, 375 is 1.

Therefore, GCD of numbers 55, 374, 309, 375 is 1

Given Input Data is 55, 374, 309, 375

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

Prime Factorization of 55 is 5 x 11

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 309 is 3 x 103

Prime Factorization of 375 is 3 x 5 x 5 x 5

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(55, 374) = 1870

GCD(55, 374) = ( 55 x 374 ) / 1870

GCD(55, 374) = 20570 / 1870

GCD(55, 374) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 309

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

LCM(11, 309) = 3399

GCD(11, 309) = ( 11 x 309 ) / 3399

GCD(11, 309) = 3399 / 3399

GCD(11, 309) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 375

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

LCM(1, 375) = 375

GCD(1, 375) = ( 1 x 375 ) / 375

GCD(1, 375) = 375 / 375

GCD(1, 375) = 1

GCD of 55, 374, 309, 375 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 692, 463, 143
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• GCD of 81, 917, 574, 653

1. What is the GCD of 55, 374, 309, 375?

GCD of 55, 374, 309, 375 is 1

2. Where do I get the detailed procedure to find GCD of 55, 374, 309, 375?

You can find a detailed procedure to find GCD of 55, 374, 309, 375 on our page.

3. How to find GCD of 55, 374, 309, 375 on a calculator?

You can find the GCD of 55, 374, 309, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.