GCD of 764, 108, 280, 663 Calculator

Given Input numbers are 764, 108, 280, 663

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

Divisors of 764

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

1, 2, 4, 191, 382, 764

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 764, 108, 280, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 108, 280, 663 is 1.

Therefore, GCD of numbers 764, 108, 280, 663 is 1

Given Input Data is 764, 108, 280, 663

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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

Prime Factorization of 663 is 3 x 13 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(764, 108) = 20628

GCD(764, 108) = ( 764 x 108 ) / 20628

GCD(764, 108) = 82512 / 20628

GCD(764, 108) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 280

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

LCM(4, 280) = 280

GCD(4, 280) = ( 4 x 280 ) / 280

GCD(4, 280) = 1120 / 280

GCD(4, 280) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 663

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

LCM(4, 663) = 2652

GCD(4, 663) = ( 4 x 663 ) / 2652

GCD(4, 663) = 2652 / 2652

GCD(4, 663) = 1

GCD of 764, 108, 280, 663 is 1

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1. What is the GCD of 764, 108, 280, 663?

GCD of 764, 108, 280, 663 is 1

2. Where do I get the detailed procedure to find GCD of 764, 108, 280, 663?

You can find a detailed procedure to find GCD of 764, 108, 280, 663 on our page.

3. How to find GCD of 764, 108, 280, 663 on a calculator?

You can find the GCD of 764, 108, 280, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.