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GCD of 495, 752, 382, 731 Calculator

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


Online GCD Calculator is useful to find the GCD of 495, 752, 382, 731 quickly. Get the easiest ways to solve the greatest common divisor of 495, 752, 382, 731 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 495, 752, 382, 731 with Factoring?

Given Input numbers are 495, 752, 382, 731

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

Divisors of 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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 382 :

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

1, 2, 191, 382

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731


GCD of numbers is the greatest common divisor

So, the GCD (495, 752, 382, 731) = 1.

Find GCD of 495, 752, 382, 731 using Prime Factorization

Given numbers are 495, 752, 382, 731

The list of prime factors of all numbers are

Prime factors of 495 are 3 x 3 x 5 x 11

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

Prime factors of 382 are 2 x 191

Prime factors of 731 are 17 x 43

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

Steps to Calculate GCD of 495, 752, 382, 731 using LCM Formula

Given numbers are 495, 752, 382, 731

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

Apply this formula for all numbers.

Step1:

LCM(495, 752) = 372240

GCD(495, 752) = ( 495 x 752 ) / 372240

= 495 / 752

= 495


Step2:

LCM(1, 382) = 382

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

= 1 / 382

= 1


Step3:

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

= 1 / 731

= 1


So, Greatest Common Divisor of 495, 752, 382, 731 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 495, 752, 382, 731

Given numbers are 495, 752, 382, 731
The greatest common divisor of numbers 495, 752, 382, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 495, 752, 382, 731 is 1.

FAQs on GCD of 495, 752, 382, 731 Calculator

1. What is the GCD of 495, 752, 382, 731?

GCD of given numbers 495, 752, 382, 731 is 1


2. How to calculate the greatest common divisor of 495, 752, 382, 731?

We can find the highest common divisor of 495, 752, 382, 731 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 495, 752, 382, 731 i.e 1.


3. How can I use the GCD of 495, 752, 382, 731Calculator?

Out the numbers 495, 752, 382, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.