GCD of 280, 217, 908, 553 Calculator

Given Input numbers are 280, 217, 908, 553

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

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 280, 217, 908, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 217, 908, 553 is 1.

Therefore, GCD of numbers 280, 217, 908, 553 is 1

Given Input Data is 280, 217, 908, 553

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

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 553 is 7 x 79

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(280, 217) = 8680

GCD(280, 217) = ( 280 x 217 ) / 8680

GCD(280, 217) = 60760 / 8680

GCD(280, 217) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 908

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

LCM(7, 908) = 6356

GCD(7, 908) = ( 7 x 908 ) / 6356

GCD(7, 908) = 6356 / 6356

GCD(7, 908) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 280, 217, 908, 553 is 1

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1. What is the GCD of 280, 217, 908, 553?

GCD of 280, 217, 908, 553 is 1

2. Where do I get the detailed procedure to find GCD of 280, 217, 908, 553?

You can find a detailed procedure to find GCD of 280, 217, 908, 553 on our page.

3. How to find GCD of 280, 217, 908, 553 on a calculator?

You can find the GCD of 280, 217, 908, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.