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GCD of 813, 843, 354, 546 Calculator

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


Online GCD Calculator is useful to find the GCD of 813, 843, 354, 546 quickly. Get the easiest ways to solve the greatest common divisor of 813, 843, 354, 546 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 813, 843, 354, 546 with Factoring?

Given Input numbers are 813, 843, 354, 546

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

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546


GCD of numbers is the greatest common divisor

So, the GCD (813, 843, 354, 546) = 3.

Find GCD of 813, 843, 354, 546 using Prime Factorization

Given numbers are 813, 843, 354, 546

The list of prime factors of all numbers are

Prime factors of 813 are 3 x 271

Prime factors of 843 are 3 x 281

Prime factors of 354 are 2 x 3 x 59

Prime factors of 546 are 2 x 3 x 7 x 13

The highest common occurrence is 31

Therefore, GCD of 813, 843, 354, 546 is 3.

Steps to Calculate GCD of 813, 843, 354, 546 using LCM Formula

Given numbers are 813, 843, 354, 546

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

Apply this formula for all numbers.

Step1:

LCM(813, 843) = 228453

GCD(813, 843) = ( 813 x 843 ) / 228453

= 813 / 843

= 813


Step2:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3


Step3:

LCM(3, 546) = 546

GCD(3, 546) = ( 3 x 546 ) / 546

= 3 / 546

= 3


So, Greatest Common Divisor of 813, 843, 354, 546 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 813, 843, 354, 546

Given numbers are 813, 843, 354, 546
The greatest common divisor of numbers 813, 843, 354, 546 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 813, 843, 354, 546 is 3.

FAQs on GCD of 813, 843, 354, 546 Calculator

1. What is the GCD of 813, 843, 354, 546?

GCD of given numbers 813, 843, 354, 546 is 3


2. How to calculate the greatest common divisor of 813, 843, 354, 546?

We can find the highest common divisor of 813, 843, 354, 546 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 813, 843, 354, 546 i.e 3.


3. How can I use the GCD of 813, 843, 354, 546Calculator?

Out the numbers 813, 843, 354, 546 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.