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GCD of 900, 704, 216 Calculator

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


Online GCD Calculator is useful to find the GCD of 900, 704, 216 quickly. Get the easiest ways to solve the greatest common divisor of 900, 704, 216 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 900, 704, 216 with Factoring?

Given Input numbers are 900, 704, 216

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

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216


GCD of numbers is the greatest common divisor

So, the GCD (900, 704, 216) = 4.

Find GCD of 900, 704, 216 using Prime Factorization

Given numbers are 900, 704, 216

The list of prime factors of all numbers are

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

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 22

Therefore, GCD of 900, 704, 216 is 4.

Steps to Calculate GCD of 900, 704, 216 using LCM Formula

Given numbers are 900, 704, 216

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

Apply this formula for all numbers.

Step1:

LCM(900, 704) = 158400

GCD(900, 704) = ( 900 x 704 ) / 158400

= 900 / 704

= 900


Step2:

LCM(4, 216) = 216

GCD(4, 216) = ( 4 x 216 ) / 216

= 4 / 216

= 4


So, Greatest Common Divisor of 900, 704, 216 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 900, 704, 216

Given numbers are 900, 704, 216
The greatest common divisor of numbers 900, 704, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 704, 216 is 4.

FAQs on GCD of 900, 704, 216 Calculator

1. What is the GCD of 900, 704, 216?

GCD of given numbers 900, 704, 216 is 4


2. How to calculate the greatest common divisor of 900, 704, 216?

We can find the highest common divisor of 900, 704, 216 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 900, 704, 216 i.e 4.


3. How can I use the GCD of 900, 704, 216Calculator?

Out the numbers 900, 704, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.