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GCD of 150, 460, 404, 650 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 150, 460, 404, 650 quickly. Get the easiest ways to solve the greatest common divisor of 150, 460, 404, 650 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 150, 460, 404, 650 with Factoring?

Given Input numbers are 150, 460, 404, 650

In the factoring method, we have to find the divisors of all numbers

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650


GCD of numbers is the greatest common divisor

So, the GCD (150, 460, 404, 650) = 2.

Find GCD of 150, 460, 404, 650 using Prime Factorization

Given numbers are 150, 460, 404, 650

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 404 are 2 x 2 x 101

Prime factors of 650 are 2 x 5 x 5 x 13

The highest common occurrence is 21

Therefore, GCD of 150, 460, 404, 650 is 2.

Steps to Calculate GCD of 150, 460, 404, 650 using LCM Formula

Given numbers are 150, 460, 404, 650

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(150, 460) = 6900

GCD(150, 460) = ( 150 x 460 ) / 6900

= 150 / 460

= 150


Step2:

LCM(10, 404) = 2020

GCD(10, 404) = ( 10 x 404 ) / 2020

= 10 / 404

= 10


Step3:

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

= 2 / 650

= 2


So, Greatest Common Divisor of 150, 460, 404, 650 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 150, 460, 404, 650

Given numbers are 150, 460, 404, 650
The greatest common divisor of numbers 150, 460, 404, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 460, 404, 650 is 2.

FAQs on GCD of 150, 460, 404, 650 Calculator

1. What is the GCD of 150, 460, 404, 650?

GCD of given numbers 150, 460, 404, 650 is 2


2. How to calculate the greatest common divisor of 150, 460, 404, 650?

We can find the highest common divisor of 150, 460, 404, 650 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 150, 460, 404, 650 i.e 2.


3. How can I use the GCD of 150, 460, 404, 650Calculator?

Out the numbers 150, 460, 404, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.