GCD of 698, 520, 496, 418 Calculator

Given Input numbers are 698, 520, 496, 418

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 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 698, 520, 496, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 520, 496, 418 is 2.

Therefore, GCD of numbers 698, 520, 496, 418 is 2

Given Input Data is 698, 520, 496, 418

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 418 is 2 x 11 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 520) = 181480

GCD(698, 520) = ( 698 x 520 ) / 181480

GCD(698, 520) = 362960 / 181480

GCD(698, 520) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 496

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

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

GCD(2, 496) = 992 / 496

GCD(2, 496) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 418

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

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

GCD(2, 418) = 836 / 418

GCD(2, 418) = 2

GCD of 698, 520, 496, 418 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 572, 539, 544
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1. What is the GCD of 698, 520, 496, 418?

GCD of 698, 520, 496, 418 is 2

2. Where do I get the detailed procedure to find GCD of 698, 520, 496, 418?

You can find a detailed procedure to find GCD of 698, 520, 496, 418 on our page.

3. How to find GCD of 698, 520, 496, 418 on a calculator?

You can find the GCD of 698, 520, 496, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.