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GCD of 289, 333, 755, 735 Calculator

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


Online GCD Calculator is useful to find the GCD of 289, 333, 755, 735 quickly. Get the easiest ways to solve the greatest common divisor of 289, 333, 755, 735 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 289, 333, 755, 735 with Factoring?

Given Input numbers are 289, 333, 755, 735

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

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


GCD of numbers is the greatest common divisor

So, the GCD (289, 333, 755, 735) = 1.

Find GCD of 289, 333, 755, 735 using Prime Factorization

Given numbers are 289, 333, 755, 735

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 333 are 3 x 3 x 37

Prime factors of 755 are 5 x 151

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

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 289, 333, 755, 735 using LCM Formula

Given numbers are 289, 333, 755, 735

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

Apply this formula for all numbers.

Step1:

LCM(289, 333) = 96237

GCD(289, 333) = ( 289 x 333 ) / 96237

= 289 / 333

= 289


Step2:

LCM(1, 755) = 755

GCD(1, 755) = ( 1 x 755 ) / 755

= 1 / 755

= 1


Step3:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1


So, Greatest Common Divisor of 289, 333, 755, 735 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 289, 333, 755, 735

Given numbers are 289, 333, 755, 735
The greatest common divisor of numbers 289, 333, 755, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 333, 755, 735 is 1.

FAQs on GCD of 289, 333, 755, 735 Calculator

1. What is the GCD of 289, 333, 755, 735?

GCD of given numbers 289, 333, 755, 735 is 1


2. How to calculate the greatest common divisor of 289, 333, 755, 735?

We can find the highest common divisor of 289, 333, 755, 735 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 289, 333, 755, 735 i.e 1.


3. How can I use the GCD of 289, 333, 755, 735Calculator?

Out the numbers 289, 333, 755, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.