GCD of 210, 695, 717, 294 Calculator

Given Input numbers are 210, 695, 717, 294

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 210, 695, 717, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 695, 717, 294 is 1.

Therefore, GCD of numbers 210, 695, 717, 294 is 1

Given Input Data is 210, 695, 717, 294

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 695 is 5 x 139

Prime Factorization of 717 is 3 x 239

Prime Factorization of 294 is 2 x 3 x 7 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(210, 695) = 29190

GCD(210, 695) = ( 210 x 695 ) / 29190

GCD(210, 695) = 145950 / 29190

GCD(210, 695) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 717

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

LCM(5, 717) = 3585

GCD(5, 717) = ( 5 x 717 ) / 3585

GCD(5, 717) = 3585 / 3585

GCD(5, 717) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 210, 695, 717, 294 is 1

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• GCD of 500, 283, 334, 987
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• GCD of 444, 154, 965, 766

1. What is the GCD of 210, 695, 717, 294?

GCD of 210, 695, 717, 294 is 1

2. Where do I get the detailed procedure to find GCD of 210, 695, 717, 294?

You can find a detailed procedure to find GCD of 210, 695, 717, 294 on our page.

3. How to find GCD of 210, 695, 717, 294 on a calculator?

You can find the GCD of 210, 695, 717, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.