GCD of 894, 300, 740, 341 Calculator

Given Input numbers are 894, 300, 740, 341

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 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Greatest Common Divisior

We found the divisors of 894, 300, 740, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 300, 740, 341 is 1.

Therefore, GCD of numbers 894, 300, 740, 341 is 1

Given Input Data is 894, 300, 740, 341

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 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 341 is 11 x 31

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, 300) = 44700

GCD(894, 300) = ( 894 x 300 ) / 44700

GCD(894, 300) = 268200 / 44700

GCD(894, 300) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 740

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

LCM(6, 740) = 2220

GCD(6, 740) = ( 6 x 740 ) / 2220

GCD(6, 740) = 4440 / 2220

GCD(6, 740) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 341

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

LCM(2, 341) = 682

GCD(2, 341) = ( 2 x 341 ) / 682

GCD(2, 341) = 682 / 682

GCD(2, 341) = 1

GCD of 894, 300, 740, 341 is 1

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1. What is the GCD of 894, 300, 740, 341?

GCD of 894, 300, 740, 341 is 1

2. Where do I get the detailed procedure to find GCD of 894, 300, 740, 341?

You can find a detailed procedure to find GCD of 894, 300, 740, 341 on our page.

3. How to find GCD of 894, 300, 740, 341 on a calculator?

You can find the GCD of 894, 300, 740, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.