GCD of 218, 840, 49, 518 Calculator

Given Input numbers are 218, 840, 49, 518

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

Divisors of 218

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

1, 2, 109, 218

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 218, 840, 49, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 218, 840, 49, 518 is 1.

Therefore, GCD of numbers 218, 840, 49, 518 is 1

Given Input Data is 218, 840, 49, 518

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

Prime Factorization of 218 is 2 x 109

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 49 is 7 x 7

Prime Factorization of 518 is 2 x 7 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(218, 840) = 91560

GCD(218, 840) = ( 218 x 840 ) / 91560

GCD(218, 840) = 183120 / 91560

GCD(218, 840) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 218, 840, 49, 518 is 1

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1. What is the GCD of 218, 840, 49, 518?

GCD of 218, 840, 49, 518 is 1

2. Where do I get the detailed procedure to find GCD of 218, 840, 49, 518?

You can find a detailed procedure to find GCD of 218, 840, 49, 518 on our page.

3. How to find GCD of 218, 840, 49, 518 on a calculator?

You can find the GCD of 218, 840, 49, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.