GCD of 280, 961, 554, 681 Calculator

Given Input numbers are 280, 961, 554, 681

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 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 280, 961, 554, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 961, 554, 681 is 1.

Therefore, GCD of numbers 280, 961, 554, 681 is 1

Given Input Data is 280, 961, 554, 681

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 961 is 31 x 31

Prime Factorization of 554 is 2 x 277

Prime Factorization of 681 is 3 x 227

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, 961) = 269080

GCD(280, 961) = ( 280 x 961 ) / 269080

GCD(280, 961) = 269080 / 269080

GCD(280, 961) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 681

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

LCM(1, 681) = 681

GCD(1, 681) = ( 1 x 681 ) / 681

GCD(1, 681) = 681 / 681

GCD(1, 681) = 1

GCD of 280, 961, 554, 681 is 1

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1. What is the GCD of 280, 961, 554, 681?

GCD of 280, 961, 554, 681 is 1

2. Where do I get the detailed procedure to find GCD of 280, 961, 554, 681?

You can find a detailed procedure to find GCD of 280, 961, 554, 681 on our page.

3. How to find GCD of 280, 961, 554, 681 on a calculator?

You can find the GCD of 280, 961, 554, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.