GCD of 698, 340, 28, 221 Calculator

Given Input numbers are 698, 340, 28, 221

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 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Greatest Common Divisior

We found the divisors of 698, 340, 28, 221 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 340, 28, 221 is 1.

Therefore, GCD of numbers 698, 340, 28, 221 is 1

Given Input Data is 698, 340, 28, 221

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 221 is 13 x 17

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, 340) = 118660

GCD(698, 340) = ( 698 x 340 ) / 118660

GCD(698, 340) = 237320 / 118660

GCD(698, 340) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 221

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

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

GCD(2, 221) = 442 / 442

GCD(2, 221) = 1

GCD of 698, 340, 28, 221 is 1

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1. What is the GCD of 698, 340, 28, 221?

GCD of 698, 340, 28, 221 is 1

2. Where do I get the detailed procedure to find GCD of 698, 340, 28, 221?

You can find a detailed procedure to find GCD of 698, 340, 28, 221 on our page.

3. How to find GCD of 698, 340, 28, 221 on a calculator?

You can find the GCD of 698, 340, 28, 221 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.