Where do I get the detailed procedure to find GCD of 150, 477, 675?

You can find a detailed procedure to find GCD of 150, 477, 675 on our page.

How to find GCD of 150, 477, 675 on a calculator?

You can find the GCD of 150, 477, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 150, 477, 675 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, 477, 675 quickly. Get the easiest ways to solve the greatest common divisor of 150, 477, 675 i.e 3 in different methods as follows.

How to Find GCD of Numbers 150, 477, 675 with Factoring?

Given Input numbers are 150, 477, 675

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 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (150, 477, 675) = 3.

Find GCD of 150, 477, 675 using Prime Factorization

Given numbers are 150, 477, 675

The list of prime factors of all numbers are

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

Prime factors of 477 are 3 x 3 x 53

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 150, 477, 675 is 3.

Steps to Calculate GCD of 150, 477, 675 using LCM Formula

Given numbers are 150, 477, 675

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

Apply this formula for all numbers.

Step1:

LCM(150, 477) = 23850

GCD(150, 477) = ( 150 x 477 ) / 23850

= 150 / 477

= 150

Step2:

LCM(3, 675) = 675

GCD(3, 675) = ( 3 x 675 ) / 675

= 3 / 675

= 3

So, Greatest Common Divisor of 150, 477, 675 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 150, 477, 675

Given numbers are 150, 477, 675
The greatest common divisor of numbers 150, 477, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 477, 675 is 3.

FAQs on GCD of 150, 477, 675 Calculator

1. What is the GCD of 150, 477, 675?

GCD of given numbers 150, 477, 675 is 3

2. How to calculate the greatest common divisor of 150, 477, 675?

We can find the highest common divisor of 150, 477, 675 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, 477, 675 i.e 3.

3. How can I use the GCD of 150, 477, 675Calculator?

Out the numbers 150, 477, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.