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GCD of 752, 230, 321 Calculator

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


Online GCD Calculator is useful to find the GCD of 752, 230, 321 quickly. Get the easiest ways to solve the greatest common divisor of 752, 230, 321 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 752, 230, 321 with Factoring?

Given Input numbers are 752, 230, 321

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321


GCD of numbers is the greatest common divisor

So, the GCD (752, 230, 321) = 1.

Find GCD of 752, 230, 321 using Prime Factorization

Given numbers are 752, 230, 321

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 230 are 2 x 5 x 23

Prime factors of 321 are 3 x 107

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

Steps to Calculate GCD of 752, 230, 321 using LCM Formula

Given numbers are 752, 230, 321

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

Apply this formula for all numbers.

Step1:

LCM(752, 230) = 86480

GCD(752, 230) = ( 752 x 230 ) / 86480

= 752 / 230

= 752


Step2:

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

= 2 / 321

= 2


So, Greatest Common Divisor of 752, 230, 321 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 752, 230, 321

Given numbers are 752, 230, 321
The greatest common divisor of numbers 752, 230, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 230, 321 is 1.

FAQs on GCD of 752, 230, 321 Calculator

1. What is the GCD of 752, 230, 321?

GCD of given numbers 752, 230, 321 is 1


2. How to calculate the greatest common divisor of 752, 230, 321?

We can find the highest common divisor of 752, 230, 321 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 752, 230, 321 i.e 1.


3. How can I use the GCD of 752, 230, 321Calculator?

Out the numbers 752, 230, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.