GCD of 527, 442, 880, 726 Calculator

Given Input numbers are 527, 442, 880, 726

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

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

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 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 527, 442, 880, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 527, 442, 880, 726 is 1.

Therefore, GCD of numbers 527, 442, 880, 726 is 1

Given Input Data is 527, 442, 880, 726

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

Prime Factorization of 527 is 17 x 31

Prime Factorization of 442 is 2 x 13 x 17

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

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(527, 442) = 13702

GCD(527, 442) = ( 527 x 442 ) / 13702

GCD(527, 442) = 232934 / 13702

GCD(527, 442) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 880

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

LCM(17, 880) = 14960

GCD(17, 880) = ( 17 x 880 ) / 14960

GCD(17, 880) = 14960 / 14960

GCD(17, 880) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 726

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

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

GCD(1, 726) = 726 / 726

GCD(1, 726) = 1

GCD of 527, 442, 880, 726 is 1

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1. What is the GCD of 527, 442, 880, 726?

GCD of 527, 442, 880, 726 is 1

2. Where do I get the detailed procedure to find GCD of 527, 442, 880, 726?

You can find a detailed procedure to find GCD of 527, 442, 880, 726 on our page.

3. How to find GCD of 527, 442, 880, 726 on a calculator?

You can find the GCD of 527, 442, 880, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.