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GCD of 731, 498, 227, 352 Calculator

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


Online GCD Calculator is useful to find the GCD of 731, 498, 227, 352 quickly. Get the easiest ways to solve the greatest common divisor of 731, 498, 227, 352 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 731, 498, 227, 352 with Factoring?

Given Input numbers are 731, 498, 227, 352

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

Divisors of 731 :

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

1, 17, 43, 731

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 227 :

The positive integer divisors of 227 that completely divides 227 are.

1, 227

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352


GCD of numbers is the greatest common divisor

So, the GCD (731, 498, 227, 352) = 1.

Find GCD of 731, 498, 227, 352 using Prime Factorization

Given numbers are 731, 498, 227, 352

The list of prime factors of all numbers are

Prime factors of 731 are 17 x 43

Prime factors of 498 are 2 x 3 x 83

Prime factors of 227 are 227

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

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

Steps to Calculate GCD of 731, 498, 227, 352 using LCM Formula

Given numbers are 731, 498, 227, 352

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

Apply this formula for all numbers.

Step1:

LCM(731, 498) = 364038

GCD(731, 498) = ( 731 x 498 ) / 364038

= 731 / 498

= 731


Step2:

LCM(1, 227) = 227

GCD(1, 227) = ( 1 x 227 ) / 227

= 1 / 227

= 1


Step3:

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

= 1 / 352

= 1


So, Greatest Common Divisor of 731, 498, 227, 352 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 731, 498, 227, 352

Given numbers are 731, 498, 227, 352
The greatest common divisor of numbers 731, 498, 227, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 498, 227, 352 is 1.

FAQs on GCD of 731, 498, 227, 352 Calculator

1. What is the GCD of 731, 498, 227, 352?

GCD of given numbers 731, 498, 227, 352 is 1


2. How to calculate the greatest common divisor of 731, 498, 227, 352?

We can find the highest common divisor of 731, 498, 227, 352 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 731, 498, 227, 352 i.e 1.


3. How can I use the GCD of 731, 498, 227, 352Calculator?

Out the numbers 731, 498, 227, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.