GCD of 340, 900, 82, 498 Calculator

Given Input numbers are 340, 900, 82, 498

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

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 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 498

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

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

Greatest Common Divisior

We found the divisors of 340, 900, 82, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 900, 82, 498 is 2.

Therefore, GCD of numbers 340, 900, 82, 498 is 2

Given Input Data is 340, 900, 82, 498

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

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 82 is 2 x 41

Prime Factorization of 498 is 2 x 3 x 83

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(340, 900) = 15300

GCD(340, 900) = ( 340 x 900 ) / 15300

GCD(340, 900) = 306000 / 15300

GCD(340, 900) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 82

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

LCM(20, 82) = 820

GCD(20, 82) = ( 20 x 82 ) / 820

GCD(20, 82) = 1640 / 820

GCD(20, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 498

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

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

GCD(2, 498) = 996 / 498

GCD(2, 498) = 2

GCD of 340, 900, 82, 498 is 2

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• GCD of 290, 141, 44, 591
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• GCD of 985, 713, 79, 999

1. What is the GCD of 340, 900, 82, 498?

GCD of 340, 900, 82, 498 is 2

2. Where do I get the detailed procedure to find GCD of 340, 900, 82, 498?

You can find a detailed procedure to find GCD of 340, 900, 82, 498 on our page.

3. How to find GCD of 340, 900, 82, 498 on a calculator?

You can find the GCD of 340, 900, 82, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.