GCD of 698, 290, 340, 619 Calculator

Given Input numbers are 698, 290, 340, 619

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 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

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 619

List of positive integer divisors of 619 that divides 619 without a remainder.

1, 619

Greatest Common Divisior

We found the divisors of 698, 290, 340, 619 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 290, 340, 619 is 1.

Therefore, GCD of numbers 698, 290, 340, 619 is 1

Given Input Data is 698, 290, 340, 619

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 290 is 2 x 5 x 29

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

Prime Factorization of 619 is 619

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, 290) = 101210

GCD(698, 290) = ( 698 x 290 ) / 101210

GCD(698, 290) = 202420 / 101210

GCD(698, 290) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 619

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

LCM(2, 619) = 1238

GCD(2, 619) = ( 2 x 619 ) / 1238

GCD(2, 619) = 1238 / 1238

GCD(2, 619) = 1

GCD of 698, 290, 340, 619 is 1

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1. What is the GCD of 698, 290, 340, 619?

GCD of 698, 290, 340, 619 is 1

2. Where do I get the detailed procedure to find GCD of 698, 290, 340, 619?

You can find a detailed procedure to find GCD of 698, 290, 340, 619 on our page.

3. How to find GCD of 698, 290, 340, 619 on a calculator?

You can find the GCD of 698, 290, 340, 619 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.