GCD of 721, 231, 889, 766 Calculator

Given Input numbers are 721, 231, 889, 766

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 721, 231, 889, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 231, 889, 766 is 1.

Therefore, GCD of numbers 721, 231, 889, 766 is 1

Given Input Data is 721, 231, 889, 766

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 889 is 7 x 127

Prime Factorization of 766 is 2 x 383

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(721, 231) = 23793

GCD(721, 231) = ( 721 x 231 ) / 23793

GCD(721, 231) = 166551 / 23793

GCD(721, 231) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 889

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

LCM(7, 889) = 889

GCD(7, 889) = ( 7 x 889 ) / 889

GCD(7, 889) = 6223 / 889

GCD(7, 889) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 766

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

LCM(7, 766) = 5362

GCD(7, 766) = ( 7 x 766 ) / 5362

GCD(7, 766) = 5362 / 5362

GCD(7, 766) = 1

GCD of 721, 231, 889, 766 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 385, 901, 938, 186
• GCD of 922, 660, 744, 746
• GCD of 827, 576, 200, 611
• GCD of 464, 563, 151, 202
• GCD of 238, 167, 893, 446

1. What is the GCD of 721, 231, 889, 766?

GCD of 721, 231, 889, 766 is 1

2. Where do I get the detailed procedure to find GCD of 721, 231, 889, 766?

You can find a detailed procedure to find GCD of 721, 231, 889, 766 on our page.

3. How to find GCD of 721, 231, 889, 766 on a calculator?

You can find the GCD of 721, 231, 889, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.