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GCD of 716, 548, 835, 343 Calculator

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


Online GCD Calculator is useful to find the GCD of 716, 548, 835, 343 quickly. Get the easiest ways to solve the greatest common divisor of 716, 548, 835, 343 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 716, 548, 835, 343 with Factoring?

Given Input numbers are 716, 548, 835, 343

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 835 :

The positive integer divisors of 835 that completely divides 835 are.

1, 5, 167, 835

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343


GCD of numbers is the greatest common divisor

So, the GCD (716, 548, 835, 343) = 1.

Find GCD of 716, 548, 835, 343 using Prime Factorization

Given numbers are 716, 548, 835, 343

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 548 are 2 x 2 x 137

Prime factors of 835 are 5 x 167

Prime factors of 343 are 7 x 7 x 7

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

Steps to Calculate GCD of 716, 548, 835, 343 using LCM Formula

Given numbers are 716, 548, 835, 343

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

Apply this formula for all numbers.

Step1:

LCM(716, 548) = 98092

GCD(716, 548) = ( 716 x 548 ) / 98092

= 716 / 548

= 716


Step2:

LCM(4, 835) = 3340

GCD(4, 835) = ( 4 x 835 ) / 3340

= 4 / 835

= 4


Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1


So, Greatest Common Divisor of 716, 548, 835, 343 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 716, 548, 835, 343

Given numbers are 716, 548, 835, 343
The greatest common divisor of numbers 716, 548, 835, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 548, 835, 343 is 1.

FAQs on GCD of 716, 548, 835, 343 Calculator

1. What is the GCD of 716, 548, 835, 343?

GCD of given numbers 716, 548, 835, 343 is 1


2. How to calculate the greatest common divisor of 716, 548, 835, 343?

We can find the highest common divisor of 716, 548, 835, 343 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 716, 548, 835, 343 i.e 1.


3. How can I use the GCD of 716, 548, 835, 343Calculator?

Out the numbers 716, 548, 835, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.