GCD of 723, 676, 886, 755 Calculator

Given Input numbers are 723, 676, 886, 755

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 723, 676, 886, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 676, 886, 755 is 1.

Therefore, GCD of numbers 723, 676, 886, 755 is 1

Given Input Data is 723, 676, 886, 755

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 886 is 2 x 443

Prime Factorization of 755 is 5 x 151

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(723, 676) = 488748

GCD(723, 676) = ( 723 x 676 ) / 488748

GCD(723, 676) = 488748 / 488748

GCD(723, 676) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 886

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

LCM(1, 886) = 886

GCD(1, 886) = ( 1 x 886 ) / 886

GCD(1, 886) = 886 / 886

GCD(1, 886) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 755

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

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

GCD(1, 755) = 755 / 755

GCD(1, 755) = 1

GCD of 723, 676, 886, 755 is 1

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1. What is the GCD of 723, 676, 886, 755?

GCD of 723, 676, 886, 755 is 1

2. Where do I get the detailed procedure to find GCD of 723, 676, 886, 755?

You can find a detailed procedure to find GCD of 723, 676, 886, 755 on our page.

3. How to find GCD of 723, 676, 886, 755 on a calculator?

You can find the GCD of 723, 676, 886, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.