Where do I get the detailed procedure to find GCD of 735, 825, 672?

You can find a detailed procedure to find GCD of 735, 825, 672 on our page.

How to find GCD of 735, 825, 672 on a calculator?

You can find the GCD of 735, 825, 672 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 735, 825, 672 Calculator

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

Online GCD Calculator is useful to find the GCD of 735, 825, 672 quickly. Get the easiest ways to solve the greatest common divisor of 735, 825, 672 i.e 3 in different methods as follows.

How to Find GCD of Numbers 735, 825, 672 with Factoring?

Given Input numbers are 735, 825, 672

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (735, 825, 672) = 3.

Find GCD of 735, 825, 672 using Prime Factorization

Given numbers are 735, 825, 672

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 735, 825, 672 is 3.

Steps to Calculate GCD of 735, 825, 672 using LCM Formula

Given numbers are 735, 825, 672

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

Apply this formula for all numbers.

Step1:

LCM(735, 825) = 40425

GCD(735, 825) = ( 735 x 825 ) / 40425

= 735 / 825

= 735

Step2:

LCM(15, 672) = 3360

GCD(15, 672) = ( 15 x 672 ) / 3360

= 15 / 672

= 15

So, Greatest Common Divisor of 735, 825, 672 is 3

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 735, 825, 672

Given numbers are 735, 825, 672
The greatest common divisor of numbers 735, 825, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 825, 672 is 3.

FAQs on GCD of 735, 825, 672 Calculator

1. What is the GCD of 735, 825, 672?

GCD of given numbers 735, 825, 672 is 3

2. How to calculate the greatest common divisor of 735, 825, 672?

We can find the highest common divisor of 735, 825, 672 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 735, 825, 672 i.e 3.

3. How can I use the GCD of 735, 825, 672Calculator?

Out the numbers 735, 825, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.