GCD of 748, 515, 271, 828 Calculator

Given Input numbers are 748, 515, 271, 828

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 748, 515, 271, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 515, 271, 828 is 1.

Therefore, GCD of numbers 748, 515, 271, 828 is 1

Given Input Data is 748, 515, 271, 828

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 515 is 5 x 103

Prime Factorization of 271 is 271

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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(748, 515) = 385220

GCD(748, 515) = ( 748 x 515 ) / 385220

GCD(748, 515) = 385220 / 385220

GCD(748, 515) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 748, 515, 271, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 701, 364, 451
• GCD of 607, 920, 536, 385
• GCD of 811, 311, 956, 544
• GCD of 450, 258, 959, 347
• GCD of 515, 773, 606, 281

1. What is the GCD of 748, 515, 271, 828?

GCD of 748, 515, 271, 828 is 1

2. Where do I get the detailed procedure to find GCD of 748, 515, 271, 828?

You can find a detailed procedure to find GCD of 748, 515, 271, 828 on our page.

3. How to find GCD of 748, 515, 271, 828 on a calculator?

You can find the GCD of 748, 515, 271, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.