GCD of 180, 766, 460, 830 Calculator

Given Input numbers are 180, 766, 460, 830

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

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

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 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 180, 766, 460, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 766, 460, 830 is 2.

Therefore, GCD of numbers 180, 766, 460, 830 is 2

Given Input Data is 180, 766, 460, 830

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

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 766 is 2 x 383

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 830 is 2 x 5 x 83

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(180, 766) = 68940

GCD(180, 766) = ( 180 x 766 ) / 68940

GCD(180, 766) = 137880 / 68940

GCD(180, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 460

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

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

GCD(2, 460) = 920 / 460

GCD(2, 460) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 830

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

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

GCD(2, 830) = 1660 / 830

GCD(2, 830) = 2

GCD of 180, 766, 460, 830 is 2

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• GCD of 124, 179, 634, 889

1. What is the GCD of 180, 766, 460, 830?

GCD of 180, 766, 460, 830 is 2

2. Where do I get the detailed procedure to find GCD of 180, 766, 460, 830?

You can find a detailed procedure to find GCD of 180, 766, 460, 830 on our page.

3. How to find GCD of 180, 766, 460, 830 on a calculator?

You can find the GCD of 180, 766, 460, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.