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GCD of 498, 731, 743, 797 Calculator

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


Online GCD Calculator is useful to find the GCD of 498, 731, 743, 797 quickly. Get the easiest ways to solve the greatest common divisor of 498, 731, 743, 797 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 498, 731, 743, 797 with Factoring?

Given Input numbers are 498, 731, 743, 797

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

Divisors of 498 :

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

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

Divisors of 731 :

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

1, 17, 43, 731

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 797 :

The positive integer divisors of 797 that completely divides 797 are.

1, 797


GCD of numbers is the greatest common divisor

So, the GCD (498, 731, 743, 797) = 1.

Find GCD of 498, 731, 743, 797 using Prime Factorization

Given numbers are 498, 731, 743, 797

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 731 are 17 x 43

Prime factors of 743 are 743

Prime factors of 797 are 797

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

Steps to Calculate GCD of 498, 731, 743, 797 using LCM Formula

Given numbers are 498, 731, 743, 797

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

Apply this formula for all numbers.

Step1:

LCM(498, 731) = 364038

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

= 498 / 731

= 498


Step2:

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

= 1 / 743

= 1


Step3:

LCM(1, 797) = 797

GCD(1, 797) = ( 1 x 797 ) / 797

= 1 / 797

= 1


So, Greatest Common Divisor of 498, 731, 743, 797 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 498, 731, 743, 797

Given numbers are 498, 731, 743, 797
The greatest common divisor of numbers 498, 731, 743, 797 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 731, 743, 797 is 1.

FAQs on GCD of 498, 731, 743, 797 Calculator

1. What is the GCD of 498, 731, 743, 797?

GCD of given numbers 498, 731, 743, 797 is 1


2. How to calculate the greatest common divisor of 498, 731, 743, 797?

We can find the highest common divisor of 498, 731, 743, 797 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 498, 731, 743, 797 i.e 1.


3. How can I use the GCD of 498, 731, 743, 797Calculator?

Out the numbers 498, 731, 743, 797 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.