GCD of 375, 670, 56, 225 Calculator

Given Input numbers are 375, 670, 56, 225

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 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 375, 670, 56, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 670, 56, 225 is 1.

Therefore, GCD of numbers 375, 670, 56, 225 is 1

Given Input Data is 375, 670, 56, 225

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 670 is 2 x 5 x 67

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 225 is 3 x 3 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(375, 670) = 50250

GCD(375, 670) = ( 375 x 670 ) / 50250

GCD(375, 670) = 251250 / 50250

GCD(375, 670) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 56

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

LCM(5, 56) = 280

GCD(5, 56) = ( 5 x 56 ) / 280

GCD(5, 56) = 280 / 280

GCD(5, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 375, 670, 56, 225 is 1

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1. What is the GCD of 375, 670, 56, 225?

GCD of 375, 670, 56, 225 is 1

2. Where do I get the detailed procedure to find GCD of 375, 670, 56, 225?

You can find a detailed procedure to find GCD of 375, 670, 56, 225 on our page.

3. How to find GCD of 375, 670, 56, 225 on a calculator?

You can find the GCD of 375, 670, 56, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.