GCD of 207, 132, 280, 496 Calculator

Given Input numbers are 207, 132, 280, 496

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

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 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 207, 132, 280, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 132, 280, 496 is 1.

Therefore, GCD of numbers 207, 132, 280, 496 is 1

Given Input Data is 207, 132, 280, 496

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

Prime Factorization of 207 is 3 x 3 x 23

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 496 is 2 x 2 x 2 x 2 x 31

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(207, 132) = 9108

GCD(207, 132) = ( 207 x 132 ) / 9108

GCD(207, 132) = 27324 / 9108

GCD(207, 132) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 280

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

LCM(3, 280) = 840

GCD(3, 280) = ( 3 x 280 ) / 840

GCD(3, 280) = 840 / 840

GCD(3, 280) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 496

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

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

GCD(1, 496) = 496 / 496

GCD(1, 496) = 1

GCD of 207, 132, 280, 496 is 1

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1. What is the GCD of 207, 132, 280, 496?

GCD of 207, 132, 280, 496 is 1

2. Where do I get the detailed procedure to find GCD of 207, 132, 280, 496?

You can find a detailed procedure to find GCD of 207, 132, 280, 496 on our page.

3. How to find GCD of 207, 132, 280, 496 on a calculator?

You can find the GCD of 207, 132, 280, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.