GCD of 894, 705, 24, 347 Calculator

Given Input numbers are 894, 705, 24, 347

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 347

List of positive integer divisors of 347 that divides 347 without a remainder.

1, 347

Greatest Common Divisior

We found the divisors of 894, 705, 24, 347 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 705, 24, 347 is 1.

Therefore, GCD of numbers 894, 705, 24, 347 is 1

Given Input Data is 894, 705, 24, 347

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 705 is 3 x 5 x 47

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 347 is 347

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, 705) = 210090

GCD(894, 705) = ( 894 x 705 ) / 210090

GCD(894, 705) = 630270 / 210090

GCD(894, 705) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 24

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

LCM(3, 24) = 24

GCD(3, 24) = ( 3 x 24 ) / 24

GCD(3, 24) = 72 / 24

GCD(3, 24) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 347

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

LCM(3, 347) = 1041

GCD(3, 347) = ( 3 x 347 ) / 1041

GCD(3, 347) = 1041 / 1041

GCD(3, 347) = 1

GCD of 894, 705, 24, 347 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 342, 72, 158
• GCD of 147, 201, 87, 527
• GCD of 992, 349, 55, 576
• GCD of 943, 973, 96, 759
• GCD of 193, 975, 81, 479

1. What is the GCD of 894, 705, 24, 347?

GCD of 894, 705, 24, 347 is 1

2. Where do I get the detailed procedure to find GCD of 894, 705, 24, 347?

You can find a detailed procedure to find GCD of 894, 705, 24, 347 on our page.

3. How to find GCD of 894, 705, 24, 347 on a calculator?

You can find the GCD of 894, 705, 24, 347 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.