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GCD of 354, 744, 814 Calculator

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


Online GCD Calculator is useful to find the GCD of 354, 744, 814 quickly. Get the easiest ways to solve the greatest common divisor of 354, 744, 814 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 354, 744, 814 with Factoring?

Given Input numbers are 354, 744, 814

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

Divisors of 354 :

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

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814


GCD of numbers is the greatest common divisor

So, the GCD (354, 744, 814) = 2.

Find GCD of 354, 744, 814 using Prime Factorization

Given numbers are 354, 744, 814

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 814 are 2 x 11 x 37

The highest common occurrence is 21

Therefore, GCD of 354, 744, 814 is 2.

Steps to Calculate GCD of 354, 744, 814 using LCM Formula

Given numbers are 354, 744, 814

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

Apply this formula for all numbers.

Step1:

LCM(354, 744) = 43896

GCD(354, 744) = ( 354 x 744 ) / 43896

= 354 / 744

= 354


Step2:

LCM(6, 814) = 2442

GCD(6, 814) = ( 6 x 814 ) / 2442

= 6 / 814

= 6


So, Greatest Common Divisor of 354, 744, 814 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 354, 744, 814

Given numbers are 354, 744, 814
The greatest common divisor of numbers 354, 744, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 744, 814 is 2.

FAQs on GCD of 354, 744, 814 Calculator

1. What is the GCD of 354, 744, 814?

GCD of given numbers 354, 744, 814 is 2


2. How to calculate the greatest common divisor of 354, 744, 814?

We can find the highest common divisor of 354, 744, 814 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 354, 744, 814 i.e 2.


3. How can I use the GCD of 354, 744, 814Calculator?

Out the numbers 354, 744, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.