GCD of 375, 275, 40, 312 Calculator

Given Input numbers are 375, 275, 40, 312

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

Divisors of 375

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

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

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Greatest Common Divisior

We found the divisors of 375, 275, 40, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 275, 40, 312 is 1.

Therefore, GCD of numbers 375, 275, 40, 312 is 1

Given Input Data is 375, 275, 40, 312

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

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

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

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(375, 275) = 4125

GCD(375, 275) = ( 375 x 275 ) / 4125

GCD(375, 275) = 103125 / 4125

GCD(375, 275) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 40

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

LCM(25, 40) = 200

GCD(25, 40) = ( 25 x 40 ) / 200

GCD(25, 40) = 1000 / 200

GCD(25, 40) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 312

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

LCM(5, 312) = 1560

GCD(5, 312) = ( 5 x 312 ) / 1560

GCD(5, 312) = 1560 / 1560

GCD(5, 312) = 1

GCD of 375, 275, 40, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 331, 34, 620
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1. What is the GCD of 375, 275, 40, 312?

GCD of 375, 275, 40, 312 is 1

2. Where do I get the detailed procedure to find GCD of 375, 275, 40, 312?

You can find a detailed procedure to find GCD of 375, 275, 40, 312 on our page.

3. How to find GCD of 375, 275, 40, 312 on a calculator?

You can find the GCD of 375, 275, 40, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.