GCD of 28, 378, 105, 925 Calculator

Given Input numbers are 28, 378, 105, 925

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 28, 378, 105, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 378, 105, 925 is 1.

Therefore, GCD of numbers 28, 378, 105, 925 is 1

Given Input Data is 28, 378, 105, 925

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

Prime Factorization of 28 is 2 x 2 x 7

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 925 is 5 x 5 x 37

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(28, 378) = 756

GCD(28, 378) = ( 28 x 378 ) / 756

GCD(28, 378) = 10584 / 756

GCD(28, 378) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 105

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

LCM(14, 105) = 210

GCD(14, 105) = ( 14 x 105 ) / 210

GCD(14, 105) = 1470 / 210

GCD(14, 105) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 925

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

LCM(7, 925) = 6475

GCD(7, 925) = ( 7 x 925 ) / 6475

GCD(7, 925) = 6475 / 6475

GCD(7, 925) = 1

GCD of 28, 378, 105, 925 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 395, 299, 599
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• GCD of 39, 617, 739, 807
• GCD of 40, 370, 863, 124

1. What is the GCD of 28, 378, 105, 925?

GCD of 28, 378, 105, 925 is 1

2. Where do I get the detailed procedure to find GCD of 28, 378, 105, 925?

You can find a detailed procedure to find GCD of 28, 378, 105, 925 on our page.

3. How to find GCD of 28, 378, 105, 925 on a calculator?

You can find the GCD of 28, 378, 105, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.