GCD of 498, 150, 422, 986 Calculator

Given Input numbers are 498, 150, 422, 986

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 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 498, 150, 422, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 150, 422, 986 is 2.

Therefore, GCD of numbers 498, 150, 422, 986 is 2

Given Input Data is 498, 150, 422, 986

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 150 is 2 x 3 x 5 x 5

Prime Factorization of 422 is 2 x 211

Prime Factorization of 986 is 2 x 17 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, 150) = 12450

GCD(498, 150) = ( 498 x 150 ) / 12450

GCD(498, 150) = 74700 / 12450

GCD(498, 150) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 422

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

LCM(6, 422) = 1266

GCD(6, 422) = ( 6 x 422 ) / 1266

GCD(6, 422) = 2532 / 1266

GCD(6, 422) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 986

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

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

GCD(2, 986) = 1972 / 986

GCD(2, 986) = 2

GCD of 498, 150, 422, 986 is 2

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1. What is the GCD of 498, 150, 422, 986?

GCD of 498, 150, 422, 986 is 2

2. Where do I get the detailed procedure to find GCD of 498, 150, 422, 986?

You can find a detailed procedure to find GCD of 498, 150, 422, 986 on our page.

3. How to find GCD of 498, 150, 422, 986 on a calculator?

You can find the GCD of 498, 150, 422, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.