GCD of 894, 460, 480, 158 Calculator

Given Input numbers are 894, 460, 480, 158

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 158

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

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 894, 460, 480, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 460, 480, 158 is 2.

Therefore, GCD of numbers 894, 460, 480, 158 is 2

Given Input Data is 894, 460, 480, 158

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 460 is 2 x 2 x 5 x 23

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 158 is 2 x 79

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 460) = 205620

GCD(894, 460) = ( 894 x 460 ) / 205620

GCD(894, 460) = 411240 / 205620

GCD(894, 460) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 158

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

LCM(2, 158) = 158

GCD(2, 158) = ( 2 x 158 ) / 158

GCD(2, 158) = 316 / 158

GCD(2, 158) = 2

GCD of 894, 460, 480, 158 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 312, 604, 251, 139
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• GCD of 300, 812, 787, 655
• GCD of 149, 104, 729, 592

1. What is the GCD of 894, 460, 480, 158?

GCD of 894, 460, 480, 158 is 2

2. Where do I get the detailed procedure to find GCD of 894, 460, 480, 158?

You can find a detailed procedure to find GCD of 894, 460, 480, 158 on our page.

3. How to find GCD of 894, 460, 480, 158 on a calculator?

You can find the GCD of 894, 460, 480, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.