GCD of 71, 680, 413, 264 Calculator

Given Input numbers are 71, 680, 413, 264

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 71, 680, 413, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 680, 413, 264 is 1.

Therefore, GCD of numbers 71, 680, 413, 264 is 1

Given Input Data is 71, 680, 413, 264

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

Prime Factorization of 71 is 71

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 413 is 7 x 59

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(71, 680) = 48280

GCD(71, 680) = ( 71 x 680 ) / 48280

GCD(71, 680) = 48280 / 48280

GCD(71, 680) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 413

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

LCM(1, 413) = 413

GCD(1, 413) = ( 1 x 413 ) / 413

GCD(1, 413) = 413 / 413

GCD(1, 413) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 71, 680, 413, 264 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 26, 155, 279, 499
• GCD of 51, 136, 927, 826
• GCD of 46, 739, 790, 753
• GCD of 88, 816, 298, 608
• GCD of 99, 807, 880, 175

1. What is the GCD of 71, 680, 413, 264?

GCD of 71, 680, 413, 264 is 1

2. Where do I get the detailed procedure to find GCD of 71, 680, 413, 264?

You can find a detailed procedure to find GCD of 71, 680, 413, 264 on our page.

3. How to find GCD of 71, 680, 413, 264 on a calculator?

You can find the GCD of 71, 680, 413, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.