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GCD of 289, 749, 669, 326 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, 749, 669, 326 quickly. Get the easiest ways to solve the greatest common divisor of 289, 749, 669, 326 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 289, 749, 669, 326 with Factoring?

Given Input numbers are 289, 749, 669, 326

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 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326


GCD of numbers is the greatest common divisor

So, the GCD (289, 749, 669, 326) = 1.

Find GCD of 289, 749, 669, 326 using Prime Factorization

Given numbers are 289, 749, 669, 326

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 749 are 7 x 107

Prime factors of 669 are 3 x 223

Prime factors of 326 are 2 x 163

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

Steps to Calculate GCD of 289, 749, 669, 326 using LCM Formula

Given numbers are 289, 749, 669, 326

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

Apply this formula for all numbers.

Step1:

LCM(289, 749) = 216461

GCD(289, 749) = ( 289 x 749 ) / 216461

= 289 / 749

= 289


Step2:

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

= 1 / 669

= 1


Step3:

LCM(1, 326) = 326

GCD(1, 326) = ( 1 x 326 ) / 326

= 1 / 326

= 1


So, Greatest Common Divisor of 289, 749, 669, 326 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 289, 749, 669, 326

Given numbers are 289, 749, 669, 326
The greatest common divisor of numbers 289, 749, 669, 326 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 749, 669, 326 is 1.

FAQs on GCD of 289, 749, 669, 326 Calculator

1. What is the GCD of 289, 749, 669, 326?

GCD of given numbers 289, 749, 669, 326 is 1


2. How to calculate the greatest common divisor of 289, 749, 669, 326?

We can find the highest common divisor of 289, 749, 669, 326 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, 749, 669, 326 i.e 1.


3. How can I use the GCD of 289, 749, 669, 326Calculator?

Out the numbers 289, 749, 669, 326 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.