GCD of 560, 826, 89, 961 Calculator

Given Input numbers are 560, 826, 89, 961

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

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 961

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

1, 31, 961

Greatest Common Divisior

We found the divisors of 560, 826, 89, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 826, 89, 961 is 1.

Therefore, GCD of numbers 560, 826, 89, 961 is 1

Given Input Data is 560, 826, 89, 961

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

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 89 is 89

Prime Factorization of 961 is 31 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(560, 826) = 33040

GCD(560, 826) = ( 560 x 826 ) / 33040

GCD(560, 826) = 462560 / 33040

GCD(560, 826) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 89

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

LCM(14, 89) = 1246

GCD(14, 89) = ( 14 x 89 ) / 1246

GCD(14, 89) = 1246 / 1246

GCD(14, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 961

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

LCM(1, 961) = 961

GCD(1, 961) = ( 1 x 961 ) / 961

GCD(1, 961) = 961 / 961

GCD(1, 961) = 1

GCD of 560, 826, 89, 961 is 1

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• GCD of 103, 308, 81, 854
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1. What is the GCD of 560, 826, 89, 961?

GCD of 560, 826, 89, 961 is 1

2. Where do I get the detailed procedure to find GCD of 560, 826, 89, 961?

You can find a detailed procedure to find GCD of 560, 826, 89, 961 on our page.

3. How to find GCD of 560, 826, 89, 961 on a calculator?

You can find the GCD of 560, 826, 89, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.