GCD of 696, 250, 51, 418 Calculator

Given Input numbers are 696, 250, 51, 418

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 696, 250, 51, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 250, 51, 418 is 1.

Therefore, GCD of numbers 696, 250, 51, 418 is 1

Given Input Data is 696, 250, 51, 418

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 51 is 3 x 17

Prime Factorization of 418 is 2 x 11 x 19

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(696, 250) = 87000

GCD(696, 250) = ( 696 x 250 ) / 87000

GCD(696, 250) = 174000 / 87000

GCD(696, 250) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 418

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

LCM(1, 418) = 418

GCD(1, 418) = ( 1 x 418 ) / 418

GCD(1, 418) = 418 / 418

GCD(1, 418) = 1

GCD of 696, 250, 51, 418 is 1

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• GCD of 580, 413, 98, 235
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1. What is the GCD of 696, 250, 51, 418?

GCD of 696, 250, 51, 418 is 1

2. Where do I get the detailed procedure to find GCD of 696, 250, 51, 418?

You can find a detailed procedure to find GCD of 696, 250, 51, 418 on our page.

3. How to find GCD of 696, 250, 51, 418 on a calculator?

You can find the GCD of 696, 250, 51, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.