GCD of 770, 264, 586, 903 Calculator

Given Input numbers are 770, 264, 586, 903

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

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 586

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

1, 2, 293, 586

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Greatest Common Divisior

We found the divisors of 770, 264, 586, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 264, 586, 903 is 1.

Therefore, GCD of numbers 770, 264, 586, 903 is 1

Given Input Data is 770, 264, 586, 903

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 586 is 2 x 293

Prime Factorization of 903 is 3 x 7 x 43

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(770, 264) = 9240

GCD(770, 264) = ( 770 x 264 ) / 9240

GCD(770, 264) = 203280 / 9240

GCD(770, 264) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 586

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

LCM(22, 586) = 6446

GCD(22, 586) = ( 22 x 586 ) / 6446

GCD(22, 586) = 12892 / 6446

GCD(22, 586) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 903

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

LCM(2, 903) = 1806

GCD(2, 903) = ( 2 x 903 ) / 1806

GCD(2, 903) = 1806 / 1806

GCD(2, 903) = 1

GCD of 770, 264, 586, 903 is 1

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1. What is the GCD of 770, 264, 586, 903?

GCD of 770, 264, 586, 903 is 1

2. Where do I get the detailed procedure to find GCD of 770, 264, 586, 903?

You can find a detailed procedure to find GCD of 770, 264, 586, 903 on our page.

3. How to find GCD of 770, 264, 586, 903 on a calculator?

You can find the GCD of 770, 264, 586, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.