GCD of 378, 110, 23, 892 Calculator

Given Input numbers are 378, 110, 23, 892

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 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 378, 110, 23, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 110, 23, 892 is 1.

Therefore, GCD of numbers 378, 110, 23, 892 is 1

Given Input Data is 378, 110, 23, 892

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 110 is 2 x 5 x 11

Prime Factorization of 23 is 23

Prime Factorization of 892 is 2 x 2 x 223

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, 110) = 20790

GCD(378, 110) = ( 378 x 110 ) / 20790

GCD(378, 110) = 41580 / 20790

GCD(378, 110) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

GCD of 378, 110, 23, 892 is 1

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1. What is the GCD of 378, 110, 23, 892?

GCD of 378, 110, 23, 892 is 1

2. Where do I get the detailed procedure to find GCD of 378, 110, 23, 892?

You can find a detailed procedure to find GCD of 378, 110, 23, 892 on our page.

3. How to find GCD of 378, 110, 23, 892 on a calculator?

You can find the GCD of 378, 110, 23, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.