GCD of 258, 562, 66, 713 Calculator

Given Input numbers are 258, 562, 66, 713

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

Divisors of 258

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

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Greatest Common Divisior

We found the divisors of 258, 562, 66, 713 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 562, 66, 713 is 1.

Therefore, GCD of numbers 258, 562, 66, 713 is 1

Given Input Data is 258, 562, 66, 713

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 562 is 2 x 281

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 713 is 23 x 31

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(258, 562) = 72498

GCD(258, 562) = ( 258 x 562 ) / 72498

GCD(258, 562) = 144996 / 72498

GCD(258, 562) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 713

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

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

GCD(2, 713) = 1426 / 1426

GCD(2, 713) = 1

GCD of 258, 562, 66, 713 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 492, 392, 20, 448
• GCD of 608, 956, 82, 451
• GCD of 172, 236, 18, 146
• GCD of 293, 294, 77, 453
• GCD of 232, 375, 69, 224

1. What is the GCD of 258, 562, 66, 713?

GCD of 258, 562, 66, 713 is 1

2. Where do I get the detailed procedure to find GCD of 258, 562, 66, 713?

You can find a detailed procedure to find GCD of 258, 562, 66, 713 on our page.

3. How to find GCD of 258, 562, 66, 713 on a calculator?

You can find the GCD of 258, 562, 66, 713 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.