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GCD of 735, 297, 207 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, 297, 207 quickly. Get the easiest ways to solve the greatest common divisor of 735, 297, 207 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 735, 297, 207 with Factoring?

Given Input numbers are 735, 297, 207

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 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207


GCD of numbers is the greatest common divisor

So, the GCD (735, 297, 207) = 3.

Find GCD of 735, 297, 207 using Prime Factorization

Given numbers are 735, 297, 207

The list of prime factors of all numbers are

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

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 207 are 3 x 3 x 23

The highest common occurrence is 31

Therefore, GCD of 735, 297, 207 is 3.

Steps to Calculate GCD of 735, 297, 207 using LCM Formula

Given numbers are 735, 297, 207

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

Apply this formula for all numbers.

Step1:

LCM(735, 297) = 72765

GCD(735, 297) = ( 735 x 297 ) / 72765

= 735 / 297

= 735


Step2:

LCM(3, 207) = 207

GCD(3, 207) = ( 3 x 207 ) / 207

= 3 / 207

= 3


So, Greatest Common Divisor of 735, 297, 207 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 735, 297, 207

Given numbers are 735, 297, 207
The greatest common divisor of numbers 735, 297, 207 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 297, 207 is 3.

FAQs on GCD of 735, 297, 207 Calculator

1. What is the GCD of 735, 297, 207?

GCD of given numbers 735, 297, 207 is 3


2. How to calculate the greatest common divisor of 735, 297, 207?

We can find the highest common divisor of 735, 297, 207 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, 297, 207 i.e 3.


3. How can I use the GCD of 735, 297, 207Calculator?

Out the numbers 735, 297, 207 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.