GCD of 378, 715, 227, 975 Calculator

Given Input numbers are 378, 715, 227, 975

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 378, 715, 227, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 715, 227, 975 is 1.

Therefore, GCD of numbers 378, 715, 227, 975 is 1

Given Input Data is 378, 715, 227, 975

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 227 is 227

Prime Factorization of 975 is 3 x 5 x 5 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(378, 715) = 270270

GCD(378, 715) = ( 378 x 715 ) / 270270

GCD(378, 715) = 270270 / 270270

GCD(378, 715) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 227

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

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

GCD(1, 227) = 227 / 227

GCD(1, 227) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 378, 715, 227, 975 is 1

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1. What is the GCD of 378, 715, 227, 975?

GCD of 378, 715, 227, 975 is 1

2. Where do I get the detailed procedure to find GCD of 378, 715, 227, 975?

You can find a detailed procedure to find GCD of 378, 715, 227, 975 on our page.

3. How to find GCD of 378, 715, 227, 975 on a calculator?

You can find the GCD of 378, 715, 227, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.