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GCD of 728, 769, 152, 382 Calculator

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


Online GCD Calculator is useful to find the GCD of 728, 769, 152, 382 quickly. Get the easiest ways to solve the greatest common divisor of 728, 769, 152, 382 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 728, 769, 152, 382 with Factoring?

Given Input numbers are 728, 769, 152, 382

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382


GCD of numbers is the greatest common divisor

So, the GCD (728, 769, 152, 382) = 1.

Find GCD of 728, 769, 152, 382 using Prime Factorization

Given numbers are 728, 769, 152, 382

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 769 are 769

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 382 are 2 x 191

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

Steps to Calculate GCD of 728, 769, 152, 382 using LCM Formula

Given numbers are 728, 769, 152, 382

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

Apply this formula for all numbers.

Step1:

LCM(728, 769) = 559832

GCD(728, 769) = ( 728 x 769 ) / 559832

= 728 / 769

= 728


Step2:

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

= 1 / 152

= 1


Step3:

LCM(1, 382) = 382

GCD(1, 382) = ( 1 x 382 ) / 382

= 1 / 382

= 1


So, Greatest Common Divisor of 728, 769, 152, 382 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 728, 769, 152, 382

Given numbers are 728, 769, 152, 382
The greatest common divisor of numbers 728, 769, 152, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 769, 152, 382 is 1.

FAQs on GCD of 728, 769, 152, 382 Calculator

1. What is the GCD of 728, 769, 152, 382?

GCD of given numbers 728, 769, 152, 382 is 1


2. How to calculate the greatest common divisor of 728, 769, 152, 382?

We can find the highest common divisor of 728, 769, 152, 382 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 728, 769, 152, 382 i.e 1.


3. How can I use the GCD of 728, 769, 152, 382Calculator?

Out the numbers 728, 769, 152, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.