GCD of 65, 824, 509, 680 Calculator

Given Input numbers are 65, 824, 509, 680

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

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

Greatest Common Divisior

We found the divisors of 65, 824, 509, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 824, 509, 680 is 1.

Therefore, GCD of numbers 65, 824, 509, 680 is 1

Given Input Data is 65, 824, 509, 680

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 509 is 509

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

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(65, 824) = 53560

GCD(65, 824) = ( 65 x 824 ) / 53560

GCD(65, 824) = 53560 / 53560

GCD(65, 824) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 680

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

LCM(1, 680) = 680

GCD(1, 680) = ( 1 x 680 ) / 680

GCD(1, 680) = 680 / 680

GCD(1, 680) = 1

GCD of 65, 824, 509, 680 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 926, 747, 590
• GCD of 52, 537, 459, 282
• GCD of 19, 475, 883, 124
• GCD of 52, 727, 948, 367
• GCD of 32, 198, 772, 467

1. What is the GCD of 65, 824, 509, 680?

GCD of 65, 824, 509, 680 is 1

2. Where do I get the detailed procedure to find GCD of 65, 824, 509, 680?

You can find a detailed procedure to find GCD of 65, 824, 509, 680 on our page.

3. How to find GCD of 65, 824, 509, 680 on a calculator?

You can find the GCD of 65, 824, 509, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.