GCD of 410, 988, 150 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 410, 988, 150 i.e. 2 largest integer that divides all the numbers equally.

GCD of 410, 988, 150 is 2

GCD(410, 988, 150) = 2

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 410, 988, 150 is 2

GCD(410, 988, 150) = 2

GCD of 410,988,150 Calculator

GCDof 410,988,150 is 2

Given Input numbers are 410, 988, 150

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

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

Greatest Common Divisior

We found the divisors of 410, 988, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 988, 150 is 2.

Therefore, GCD of numbers 410, 988, 150 is 2

Finding GCD of 410, 988, 150 using Prime Factorization

Given Input Data is 410, 988, 150

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

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 150 is 2 x 3 x 5 x 5

Highest common occurrences in the given inputs are 21

Multiplying them we get the GCD as 2

Finding GCD of 410, 988, 150 using LCM Formula

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(410, 988) = 202540

GCD(410, 988) = ( 410 x 988 ) / 202540

GCD(410, 988) = 405080 / 202540

GCD(410, 988) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 150

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

LCM(2, 150) = 150

GCD(2, 150) = ( 2 x 150 ) / 150

GCD(2, 150) = 300 / 150

GCD(2, 150) = 2

GCD of 410, 988, 150 is 2

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 410, 988, 150

1. What is the GCD of 410, 988, 150?

GCD of 410, 988, 150 is 2


2. Where do I get the detailed procedure to find GCD of 410, 988, 150?

You can find a detailed procedure to find GCD of 410, 988, 150 on our page.


3. How to find GCD of 410, 988, 150 on a calculator?

You can find the GCD of 410, 988, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.