Where do I get the detailed procedure to find GCD of 310, 470, 900?

You can find a detailed procedure to find GCD of 310, 470, 900 on our page.

How to find GCD of 310, 470, 900 on a calculator?

You can find the GCD of 310, 470, 900 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 310, 470, 900 Calculator

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

Online GCD Calculator is useful to find the GCD of 310, 470, 900 quickly. Get the easiest ways to solve the greatest common divisor of 310, 470, 900 i.e 10 in different methods as follows.

How to Find GCD of Numbers 310, 470, 900 with Factoring?

Given Input numbers are 310, 470, 900

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (310, 470, 900) = 10.

Find GCD of 310, 470, 900 using Prime Factorization

Given numbers are 310, 470, 900

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 470 are 2 x 5 x 47

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 310, 470, 900 is 10.

Steps to Calculate GCD of 310, 470, 900 using LCM Formula

Given numbers are 310, 470, 900

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

Apply this formula for all numbers.

Step1:

LCM(310, 470) = 14570

GCD(310, 470) = ( 310 x 470 ) / 14570

= 310 / 470

= 310

Step2:

LCM(10, 900) = 900

GCD(10, 900) = ( 10 x 900 ) / 900

= 10 / 900

= 10

So, Greatest Common Divisor of 310, 470, 900 is 10

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 310, 470, 900

Given numbers are 310, 470, 900
The greatest common divisor of numbers 310, 470, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 470, 900 is 10.

FAQs on GCD of 310, 470, 900 Calculator

1. What is the GCD of 310, 470, 900?

GCD of given numbers 310, 470, 900 is 10

2. How to calculate the greatest common divisor of 310, 470, 900?

We can find the highest common divisor of 310, 470, 900 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 310, 470, 900 i.e 10.

3. How can I use the GCD of 310, 470, 900Calculator?

Out the numbers 310, 470, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.