GCD of 460, 262, 397, 282 Calculator

Given Input numbers are 460, 262, 397, 282

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 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Greatest Common Divisior

We found the divisors of 460, 262, 397, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 262, 397, 282 is 1.

Therefore, GCD of numbers 460, 262, 397, 282 is 1

Given Input Data is 460, 262, 397, 282

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 262 is 2 x 131

Prime Factorization of 397 is 397

Prime Factorization of 282 is 2 x 3 x 47

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(460, 262) = 60260

GCD(460, 262) = ( 460 x 262 ) / 60260

GCD(460, 262) = 120520 / 60260

GCD(460, 262) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 397

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

LCM(2, 397) = 794

GCD(2, 397) = ( 2 x 397 ) / 794

GCD(2, 397) = 794 / 794

GCD(2, 397) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 282

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

LCM(1, 282) = 282

GCD(1, 282) = ( 1 x 282 ) / 282

GCD(1, 282) = 282 / 282

GCD(1, 282) = 1

GCD of 460, 262, 397, 282 is 1

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1. What is the GCD of 460, 262, 397, 282?

GCD of 460, 262, 397, 282 is 1

2. Where do I get the detailed procedure to find GCD of 460, 262, 397, 282?

You can find a detailed procedure to find GCD of 460, 262, 397, 282 on our page.

3. How to find GCD of 460, 262, 397, 282 on a calculator?

You can find the GCD of 460, 262, 397, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.