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GCD of 752, 838, 764, 330 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, 838, 764, 330 quickly. Get the easiest ways to solve the greatest common divisor of 752, 838, 764, 330 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 752, 838, 764, 330 with Factoring?

Given Input numbers are 752, 838, 764, 330

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 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330


GCD of numbers is the greatest common divisor

So, the GCD (752, 838, 764, 330) = 2.

Find GCD of 752, 838, 764, 330 using Prime Factorization

Given numbers are 752, 838, 764, 330

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 838 are 2 x 419

Prime factors of 764 are 2 x 2 x 191

Prime factors of 330 are 2 x 3 x 5 x 11

The highest common occurrence is 21

Therefore, GCD of 752, 838, 764, 330 is 2.

Steps to Calculate GCD of 752, 838, 764, 330 using LCM Formula

Given numbers are 752, 838, 764, 330

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

Apply this formula for all numbers.

Step1:

LCM(752, 838) = 315088

GCD(752, 838) = ( 752 x 838 ) / 315088

= 752 / 838

= 752


Step2:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2


Step3:

LCM(2, 330) = 330

GCD(2, 330) = ( 2 x 330 ) / 330

= 2 / 330

= 2


So, Greatest Common Divisor of 752, 838, 764, 330 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 752, 838, 764, 330

Given numbers are 752, 838, 764, 330
The greatest common divisor of numbers 752, 838, 764, 330 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 838, 764, 330 is 2.

FAQs on GCD of 752, 838, 764, 330 Calculator

1. What is the GCD of 752, 838, 764, 330?

GCD of given numbers 752, 838, 764, 330 is 2


2. How to calculate the greatest common divisor of 752, 838, 764, 330?

We can find the highest common divisor of 752, 838, 764, 330 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, 838, 764, 330 i.e 2.


3. How can I use the GCD of 752, 838, 764, 330Calculator?

Out the numbers 752, 838, 764, 330 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.