GCD of 460, 284, 764, 460 Calculator

Given Input numbers are 460, 284, 764, 460

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

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 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

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

Greatest Common Divisior

We found the divisors of 460, 284, 764, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 284, 764, 460 is 4.

Therefore, GCD of numbers 460, 284, 764, 460 is 4

Given Input Data is 460, 284, 764, 460

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

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 764 is 2 x 2 x 191

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(460, 284) = 32660

GCD(460, 284) = ( 460 x 284 ) / 32660

GCD(460, 284) = 130640 / 32660

GCD(460, 284) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 764

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

LCM(4, 764) = 764

GCD(4, 764) = ( 4 x 764 ) / 764

GCD(4, 764) = 3056 / 764

GCD(4, 764) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 460

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

LCM(4, 460) = 460

GCD(4, 460) = ( 4 x 460 ) / 460

GCD(4, 460) = 1840 / 460

GCD(4, 460) = 4

GCD of 460, 284, 764, 460 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 790, 173, 765
• GCD of 105, 564, 985, 527
• GCD of 694, 493, 691, 203
• GCD of 915, 854, 517, 939
• GCD of 509, 872, 145, 665

1. What is the GCD of 460, 284, 764, 460?

GCD of 460, 284, 764, 460 is 4

2. Where do I get the detailed procedure to find GCD of 460, 284, 764, 460?

You can find a detailed procedure to find GCD of 460, 284, 764, 460 on our page.

3. How to find GCD of 460, 284, 764, 460 on a calculator?

You can find the GCD of 460, 284, 764, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.