GCD of 98, 218, 403, 840 Calculator

Given Input numbers are 98, 218, 403, 840

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 218

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

1, 2, 109, 218

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 98, 218, 403, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 218, 403, 840 is 1.

Therefore, GCD of numbers 98, 218, 403, 840 is 1

Given Input Data is 98, 218, 403, 840

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 218 is 2 x 109

Prime Factorization of 403 is 13 x 31

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 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(98, 218) = 10682

GCD(98, 218) = ( 98 x 218 ) / 10682

GCD(98, 218) = 21364 / 10682

GCD(98, 218) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 403

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

LCM(2, 403) = 806

GCD(2, 403) = ( 2 x 403 ) / 806

GCD(2, 403) = 806 / 806

GCD(2, 403) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 98, 218, 403, 840 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 404, 830, 712
• GCD of 31, 727, 632, 371
• GCD of 87, 801, 598, 720
• GCD of 28, 164, 764, 162
• GCD of 85, 576, 738, 882

1. What is the GCD of 98, 218, 403, 840?

GCD of 98, 218, 403, 840 is 1

2. Where do I get the detailed procedure to find GCD of 98, 218, 403, 840?

You can find a detailed procedure to find GCD of 98, 218, 403, 840 on our page.

3. How to find GCD of 98, 218, 403, 840 on a calculator?

You can find the GCD of 98, 218, 403, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.