GCD of 682, 132, 280, 255 Calculator

Given Input numbers are 682, 132, 280, 255

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 682, 132, 280, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 132, 280, 255 is 1.

Therefore, GCD of numbers 682, 132, 280, 255 is 1

Given Input Data is 682, 132, 280, 255

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 255 is 3 x 5 x 17

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(682, 132) = 4092

GCD(682, 132) = ( 682 x 132 ) / 4092

GCD(682, 132) = 90024 / 4092

GCD(682, 132) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 280

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

LCM(22, 280) = 3080

GCD(22, 280) = ( 22 x 280 ) / 3080

GCD(22, 280) = 6160 / 3080

GCD(22, 280) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 255

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

LCM(2, 255) = 510

GCD(2, 255) = ( 2 x 255 ) / 510

GCD(2, 255) = 510 / 510

GCD(2, 255) = 1

GCD of 682, 132, 280, 255 is 1

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1. What is the GCD of 682, 132, 280, 255?

GCD of 682, 132, 280, 255 is 1

2. Where do I get the detailed procedure to find GCD of 682, 132, 280, 255?

You can find a detailed procedure to find GCD of 682, 132, 280, 255 on our page.

3. How to find GCD of 682, 132, 280, 255 on a calculator?

You can find the GCD of 682, 132, 280, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.