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GCD of 297, 765, 438, 973 Calculator

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


Online GCD Calculator is useful to find the GCD of 297, 765, 438, 973 quickly. Get the easiest ways to solve the greatest common divisor of 297, 765, 438, 973 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 297, 765, 438, 973 with Factoring?

Given Input numbers are 297, 765, 438, 973

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

Divisors of 297 :

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

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

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973


GCD of numbers is the greatest common divisor

So, the GCD (297, 765, 438, 973) = 1.

Find GCD of 297, 765, 438, 973 using Prime Factorization

Given numbers are 297, 765, 438, 973

The list of prime factors of all numbers are

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

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 438 are 2 x 3 x 73

Prime factors of 973 are 7 x 139

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

Steps to Calculate GCD of 297, 765, 438, 973 using LCM Formula

Given numbers are 297, 765, 438, 973

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

Apply this formula for all numbers.

Step1:

LCM(297, 765) = 25245

GCD(297, 765) = ( 297 x 765 ) / 25245

= 297 / 765

= 297


Step2:

LCM(9, 438) = 1314

GCD(9, 438) = ( 9 x 438 ) / 1314

= 9 / 438

= 9


Step3:

LCM(3, 973) = 2919

GCD(3, 973) = ( 3 x 973 ) / 2919

= 3 / 973

= 3


So, Greatest Common Divisor of 297, 765, 438, 973 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 297, 765, 438, 973

Given numbers are 297, 765, 438, 973
The greatest common divisor of numbers 297, 765, 438, 973 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 765, 438, 973 is 1.

FAQs on GCD of 297, 765, 438, 973 Calculator

1. What is the GCD of 297, 765, 438, 973?

GCD of given numbers 297, 765, 438, 973 is 1


2. How to calculate the greatest common divisor of 297, 765, 438, 973?

We can find the highest common divisor of 297, 765, 438, 973 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 297, 765, 438, 973 i.e 1.


3. How can I use the GCD of 297, 765, 438, 973Calculator?

Out the numbers 297, 765, 438, 973 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.