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GCD of 747, 289, 465 Calculator

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


Online GCD Calculator is useful to find the GCD of 747, 289, 465 quickly. Get the easiest ways to solve the greatest common divisor of 747, 289, 465 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 747, 289, 465 with Factoring?

Given Input numbers are 747, 289, 465

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 289 :

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

1, 17, 289

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465


GCD of numbers is the greatest common divisor

So, the GCD (747, 289, 465) = 1.

Find GCD of 747, 289, 465 using Prime Factorization

Given numbers are 747, 289, 465

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 289 are 17 x 17

Prime factors of 465 are 3 x 5 x 31

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

Steps to Calculate GCD of 747, 289, 465 using LCM Formula

Given numbers are 747, 289, 465

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

Apply this formula for all numbers.

Step1:

LCM(747, 289) = 215883

GCD(747, 289) = ( 747 x 289 ) / 215883

= 747 / 289

= 747


Step2:

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

= 1 / 465

= 1


So, Greatest Common Divisor of 747, 289, 465 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 747, 289, 465

Given numbers are 747, 289, 465
The greatest common divisor of numbers 747, 289, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 289, 465 is 1.

FAQs on GCD of 747, 289, 465 Calculator

1. What is the GCD of 747, 289, 465?

GCD of given numbers 747, 289, 465 is 1


2. How to calculate the greatest common divisor of 747, 289, 465?

We can find the highest common divisor of 747, 289, 465 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 747, 289, 465 i.e 1.


3. How can I use the GCD of 747, 289, 465Calculator?

Out the numbers 747, 289, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.