GCD of 762, 258, 221, 518 Calculator

Given Input numbers are 762, 258, 221, 518

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

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 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 762, 258, 221, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 258, 221, 518 is 1.

Therefore, GCD of numbers 762, 258, 221, 518 is 1

Given Input Data is 762, 258, 221, 518

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 221 is 13 x 17

Prime Factorization of 518 is 2 x 7 x 37

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(762, 258) = 32766

GCD(762, 258) = ( 762 x 258 ) / 32766

GCD(762, 258) = 196596 / 32766

GCD(762, 258) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 221

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

LCM(6, 221) = 1326

GCD(6, 221) = ( 6 x 221 ) / 1326

GCD(6, 221) = 1326 / 1326

GCD(6, 221) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 762, 258, 221, 518 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 564, 698, 372
• GCD of 678, 421, 121, 112
• GCD of 438, 832, 631, 729
• GCD of 443, 404, 225, 779
• GCD of 798, 466, 577, 579

1. What is the GCD of 762, 258, 221, 518?

GCD of 762, 258, 221, 518 is 1

2. Where do I get the detailed procedure to find GCD of 762, 258, 221, 518?

You can find a detailed procedure to find GCD of 762, 258, 221, 518 on our page.

3. How to find GCD of 762, 258, 221, 518 on a calculator?

You can find the GCD of 762, 258, 221, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.