GCD of 698, 302, 218, 407 Calculator

Given Input numbers are 698, 302, 218, 407

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

Divisors of 698

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

1, 2, 349, 698

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 698, 302, 218, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 302, 218, 407 is 1.

Therefore, GCD of numbers 698, 302, 218, 407 is 1

Given Input Data is 698, 302, 218, 407

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 302 is 2 x 151

Prime Factorization of 218 is 2 x 109

Prime Factorization of 407 is 11 x 37

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(698, 302) = 105398

GCD(698, 302) = ( 698 x 302 ) / 105398

GCD(698, 302) = 210796 / 105398

GCD(698, 302) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 218

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

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

GCD(2, 218) = 436 / 218

GCD(2, 218) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 407

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

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

GCD(2, 407) = 814 / 814

GCD(2, 407) = 1

GCD of 698, 302, 218, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 414, 779, 873, 958
• GCD of 552, 564, 289, 576
• GCD of 437, 115, 477, 374
• GCD of 536, 507, 687, 308
• GCD of 151, 392, 315, 929

1. What is the GCD of 698, 302, 218, 407?

GCD of 698, 302, 218, 407 is 1

2. Where do I get the detailed procedure to find GCD of 698, 302, 218, 407?

You can find a detailed procedure to find GCD of 698, 302, 218, 407 on our page.

3. How to find GCD of 698, 302, 218, 407 on a calculator?

You can find the GCD of 698, 302, 218, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.