GCD of 723, 757, 258 Calculator

Given Input numbers are 723, 757, 258

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 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 723, 757, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 757, 258 is 1.

Therefore, GCD of numbers 723, 757, 258 is 1

Given Input Data is 723, 757, 258

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 757 is 757

Prime Factorization of 258 is 2 x 3 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(723, 757) = 547311

GCD(723, 757) = ( 723 x 757 ) / 547311

GCD(723, 757) = 547311 / 547311

GCD(723, 757) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 723, 757, 258 is 1

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• GCD of 127, 689, 143
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1. What is the GCD of 723, 757, 258?

GCD of 723, 757, 258 is 1

2. Where do I get the detailed procedure to find GCD of 723, 757, 258?

You can find a detailed procedure to find GCD of 723, 757, 258 on our page.

3. How to find GCD of 723, 757, 258 on a calculator?

You can find the GCD of 723, 757, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.