GCD of 682, 712, 245, 500 Calculator

Given Input numbers are 682, 712, 245, 500

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 682, 712, 245, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 712, 245, 500 is 1.

Therefore, GCD of numbers 682, 712, 245, 500 is 1

Given Input Data is 682, 712, 245, 500

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

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

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(682, 712) = 242792

GCD(682, 712) = ( 682 x 712 ) / 242792

GCD(682, 712) = 485584 / 242792

GCD(682, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 245

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

LCM(2, 245) = 490

GCD(2, 245) = ( 2 x 245 ) / 490

GCD(2, 245) = 490 / 490

GCD(2, 245) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 682, 712, 245, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 730, 313, 712
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• GCD of 662, 525, 643, 416
• GCD of 678, 810, 122, 454
• GCD of 736, 508, 175, 876

1. What is the GCD of 682, 712, 245, 500?

GCD of 682, 712, 245, 500 is 1

2. Where do I get the detailed procedure to find GCD of 682, 712, 245, 500?

You can find a detailed procedure to find GCD of 682, 712, 245, 500 on our page.

3. How to find GCD of 682, 712, 245, 500 on a calculator?

You can find the GCD of 682, 712, 245, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.