GCD of 498, 686, 870 Calculator

Given Input numbers are 498, 686, 870

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Greatest Common Divisior

We found the divisors of 498, 686, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 686, 870 is 2.

Therefore, GCD of numbers 498, 686, 870 is 2

Given Input Data is 498, 686, 870

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 870 is 2 x 3 x 5 x 29

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(498, 686) = 170814

GCD(498, 686) = ( 498 x 686 ) / 170814

GCD(498, 686) = 341628 / 170814

GCD(498, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 870

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

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

GCD(2, 870) = 1740 / 870

GCD(2, 870) = 2

GCD of 498, 686, 870 is 2

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1. What is the GCD of 498, 686, 870?

GCD of 498, 686, 870 is 2

2. Where do I get the detailed procedure to find GCD of 498, 686, 870?

You can find a detailed procedure to find GCD of 498, 686, 870 on our page.

3. How to find GCD of 498, 686, 870 on a calculator?

You can find the GCD of 498, 686, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.