GCD of 280, 586, 961, 141 Calculator

Given Input numbers are 280, 586, 961, 141

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 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 961

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

1, 31, 961

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 280, 586, 961, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 586, 961, 141 is 1.

Therefore, GCD of numbers 280, 586, 961, 141 is 1

Given Input Data is 280, 586, 961, 141

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 586 is 2 x 293

Prime Factorization of 961 is 31 x 31

Prime Factorization of 141 is 3 x 47

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, 586) = 82040

GCD(280, 586) = ( 280 x 586 ) / 82040

GCD(280, 586) = 164080 / 82040

GCD(280, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 961

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

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

GCD(2, 961) = 1922 / 1922

GCD(2, 961) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 280, 586, 961, 141 is 1

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1. What is the GCD of 280, 586, 961, 141?

GCD of 280, 586, 961, 141 is 1

2. Where do I get the detailed procedure to find GCD of 280, 586, 961, 141?

You can find a detailed procedure to find GCD of 280, 586, 961, 141 on our page.

3. How to find GCD of 280, 586, 961, 141 on a calculator?

You can find the GCD of 280, 586, 961, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.