GCD of 207, 294, 807, 698 Calculator

Given Input numbers are 207, 294, 807, 698

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

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

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 207, 294, 807, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 294, 807, 698 is 1.

Therefore, GCD of numbers 207, 294, 807, 698 is 1

Given Input Data is 207, 294, 807, 698

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

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 807 is 3 x 269

Prime Factorization of 698 is 2 x 349

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(207, 294) = 20286

GCD(207, 294) = ( 207 x 294 ) / 20286

GCD(207, 294) = 60858 / 20286

GCD(207, 294) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 807

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

LCM(3, 807) = 807

GCD(3, 807) = ( 3 x 807 ) / 807

GCD(3, 807) = 2421 / 807

GCD(3, 807) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 698

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

LCM(3, 698) = 2094

GCD(3, 698) = ( 3 x 698 ) / 2094

GCD(3, 698) = 2094 / 2094

GCD(3, 698) = 1

GCD of 207, 294, 807, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 722, 229, 352
• GCD of 156, 460, 675, 657
• GCD of 127, 947, 823, 325
• GCD of 349, 352, 542, 216
• GCD of 776, 344, 687, 431

1. What is the GCD of 207, 294, 807, 698?

GCD of 207, 294, 807, 698 is 1

2. Where do I get the detailed procedure to find GCD of 207, 294, 807, 698?

You can find a detailed procedure to find GCD of 207, 294, 807, 698 on our page.

3. How to find GCD of 207, 294, 807, 698 on a calculator?

You can find the GCD of 207, 294, 807, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.