GCD of 894, 158, 365, 370 Calculator

Given Input numbers are 894, 158, 365, 370

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 894, 158, 365, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 158, 365, 370 is 1.

Therefore, GCD of numbers 894, 158, 365, 370 is 1

Given Input Data is 894, 158, 365, 370

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 158 is 2 x 79

Prime Factorization of 365 is 5 x 73

Prime Factorization of 370 is 2 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(894, 158) = 70626

GCD(894, 158) = ( 894 x 158 ) / 70626

GCD(894, 158) = 141252 / 70626

GCD(894, 158) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 365

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

LCM(2, 365) = 730

GCD(2, 365) = ( 2 x 365 ) / 730

GCD(2, 365) = 730 / 730

GCD(2, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 894, 158, 365, 370 is 1

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1. What is the GCD of 894, 158, 365, 370?

GCD of 894, 158, 365, 370 is 1

2. Where do I get the detailed procedure to find GCD of 894, 158, 365, 370?

You can find a detailed procedure to find GCD of 894, 158, 365, 370 on our page.

3. How to find GCD of 894, 158, 365, 370 on a calculator?

You can find the GCD of 894, 158, 365, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.