GCD of 680, 502, 23, 105 Calculator

Given Input numbers are 680, 502, 23, 105

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

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 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 680, 502, 23, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 502, 23, 105 is 1.

Therefore, GCD of numbers 680, 502, 23, 105 is 1

Given Input Data is 680, 502, 23, 105

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

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 23 is 23

Prime Factorization of 105 is 3 x 5 x 7

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(680, 502) = 170680

GCD(680, 502) = ( 680 x 502 ) / 170680

GCD(680, 502) = 341360 / 170680

GCD(680, 502) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 680, 502, 23, 105 is 1

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• GCD of 109, 611, 36, 272
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1. What is the GCD of 680, 502, 23, 105?

GCD of 680, 502, 23, 105 is 1

2. Where do I get the detailed procedure to find GCD of 680, 502, 23, 105?

You can find a detailed procedure to find GCD of 680, 502, 23, 105 on our page.

3. How to find GCD of 680, 502, 23, 105 on a calculator?

You can find the GCD of 680, 502, 23, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.