GCD of 880, 318, 961, 814 Calculator

Given Input numbers are 880, 318, 961, 814

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 961

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

1, 31, 961

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 880, 318, 961, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 318, 961, 814 is 1.

Therefore, GCD of numbers 880, 318, 961, 814 is 1

Given Input Data is 880, 318, 961, 814

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 961 is 31 x 31

Prime Factorization of 814 is 2 x 11 x 37

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(880, 318) = 139920

GCD(880, 318) = ( 880 x 318 ) / 139920

GCD(880, 318) = 279840 / 139920

GCD(880, 318) = 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 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 880, 318, 961, 814 is 1

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1. What is the GCD of 880, 318, 961, 814?

GCD of 880, 318, 961, 814 is 1

2. Where do I get the detailed procedure to find GCD of 880, 318, 961, 814?

You can find a detailed procedure to find GCD of 880, 318, 961, 814 on our page.

3. How to find GCD of 880, 318, 961, 814 on a calculator?

You can find the GCD of 880, 318, 961, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.