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GCD of 342, 398, 733, 711 Calculator

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


Online GCD Calculator is useful to find the GCD of 342, 398, 733, 711 quickly. Get the easiest ways to solve the greatest common divisor of 342, 398, 733, 711 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 342, 398, 733, 711 with Factoring?

Given Input numbers are 342, 398, 733, 711

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 733 :

The positive integer divisors of 733 that completely divides 733 are.

1, 733

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711


GCD of numbers is the greatest common divisor

So, the GCD (342, 398, 733, 711) = 1.

Find GCD of 342, 398, 733, 711 using Prime Factorization

Given numbers are 342, 398, 733, 711

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 398 are 2 x 199

Prime factors of 733 are 733

Prime factors of 711 are 3 x 3 x 79

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

Steps to Calculate GCD of 342, 398, 733, 711 using LCM Formula

Given numbers are 342, 398, 733, 711

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

Apply this formula for all numbers.

Step1:

LCM(342, 398) = 68058

GCD(342, 398) = ( 342 x 398 ) / 68058

= 342 / 398

= 342


Step2:

LCM(2, 733) = 1466

GCD(2, 733) = ( 2 x 733 ) / 1466

= 2 / 733

= 2


Step3:

LCM(1, 711) = 711

GCD(1, 711) = ( 1 x 711 ) / 711

= 1 / 711

= 1


So, Greatest Common Divisor of 342, 398, 733, 711 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 342, 398, 733, 711

Given numbers are 342, 398, 733, 711
The greatest common divisor of numbers 342, 398, 733, 711 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 398, 733, 711 is 1.

FAQs on GCD of 342, 398, 733, 711 Calculator

1. What is the GCD of 342, 398, 733, 711?

GCD of given numbers 342, 398, 733, 711 is 1


2. How to calculate the greatest common divisor of 342, 398, 733, 711?

We can find the highest common divisor of 342, 398, 733, 711 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 342, 398, 733, 711 i.e 1.


3. How can I use the GCD of 342, 398, 733, 711Calculator?

Out the numbers 342, 398, 733, 711 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.