GCD of 894, 860, 30, 959 Calculator

Given Input numbers are 894, 860, 30, 959

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 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Greatest Common Divisior

We found the divisors of 894, 860, 30, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 860, 30, 959 is 1.

Therefore, GCD of numbers 894, 860, 30, 959 is 1

Given Input Data is 894, 860, 30, 959

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 860 is 2 x 2 x 5 x 43

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 959 is 7 x 137

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, 860) = 384420

GCD(894, 860) = ( 894 x 860 ) / 384420

GCD(894, 860) = 768840 / 384420

GCD(894, 860) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 959

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

LCM(2, 959) = 1918

GCD(2, 959) = ( 2 x 959 ) / 1918

GCD(2, 959) = 1918 / 1918

GCD(2, 959) = 1

GCD of 894, 860, 30, 959 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 397, 139, 22, 846
• GCD of 408, 295, 73, 525
• GCD of 804, 847, 36, 261
• GCD of 228, 964, 77, 197
• GCD of 789, 300, 86, 383

1. What is the GCD of 894, 860, 30, 959?

GCD of 894, 860, 30, 959 is 1

2. Where do I get the detailed procedure to find GCD of 894, 860, 30, 959?

You can find a detailed procedure to find GCD of 894, 860, 30, 959 on our page.

3. How to find GCD of 894, 860, 30, 959 on a calculator?

You can find the GCD of 894, 860, 30, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.