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GCD of 354, 812, 709, 484 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, 812, 709, 484 quickly. Get the easiest ways to solve the greatest common divisor of 354, 812, 709, 484 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 354, 812, 709, 484 with Factoring?

Given Input numbers are 354, 812, 709, 484

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 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484


GCD of numbers is the greatest common divisor

So, the GCD (354, 812, 709, 484) = 1.

Find GCD of 354, 812, 709, 484 using Prime Factorization

Given numbers are 354, 812, 709, 484

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 709 are 709

Prime factors of 484 are 2 x 2 x 11 x 11

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

Steps to Calculate GCD of 354, 812, 709, 484 using LCM Formula

Given numbers are 354, 812, 709, 484

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

Apply this formula for all numbers.

Step1:

LCM(354, 812) = 143724

GCD(354, 812) = ( 354 x 812 ) / 143724

= 354 / 812

= 354


Step2:

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

= 2 / 709

= 2


Step3:

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

= 1 / 484

= 1


So, Greatest Common Divisor of 354, 812, 709, 484 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 354, 812, 709, 484

Given numbers are 354, 812, 709, 484
The greatest common divisor of numbers 354, 812, 709, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 812, 709, 484 is 1.

FAQs on GCD of 354, 812, 709, 484 Calculator

1. What is the GCD of 354, 812, 709, 484?

GCD of given numbers 354, 812, 709, 484 is 1


2. How to calculate the greatest common divisor of 354, 812, 709, 484?

We can find the highest common divisor of 354, 812, 709, 484 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, 812, 709, 484 i.e 1.


3. How can I use the GCD of 354, 812, 709, 484Calculator?

Out the numbers 354, 812, 709, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.