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GCD of 357, 509, 338, 443 Calculator

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


Online GCD Calculator is useful to find the GCD of 357, 509, 338, 443 quickly. Get the easiest ways to solve the greatest common divisor of 357, 509, 338, 443 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 357, 509, 338, 443 with Factoring?

Given Input numbers are 357, 509, 338, 443

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 443 :

The positive integer divisors of 443 that completely divides 443 are.

1, 443


GCD of numbers is the greatest common divisor

So, the GCD (357, 509, 338, 443) = 1.

Find GCD of 357, 509, 338, 443 using Prime Factorization

Given numbers are 357, 509, 338, 443

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 509 are 509

Prime factors of 338 are 2 x 13 x 13

Prime factors of 443 are 443

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

Steps to Calculate GCD of 357, 509, 338, 443 using LCM Formula

Given numbers are 357, 509, 338, 443

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

Apply this formula for all numbers.

Step1:

LCM(357, 509) = 181713

GCD(357, 509) = ( 357 x 509 ) / 181713

= 357 / 509

= 357


Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1


Step3:

LCM(1, 443) = 443

GCD(1, 443) = ( 1 x 443 ) / 443

= 1 / 443

= 1


So, Greatest Common Divisor of 357, 509, 338, 443 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 357, 509, 338, 443

Given numbers are 357, 509, 338, 443
The greatest common divisor of numbers 357, 509, 338, 443 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 509, 338, 443 is 1.

FAQs on GCD of 357, 509, 338, 443 Calculator

1. What is the GCD of 357, 509, 338, 443?

GCD of given numbers 357, 509, 338, 443 is 1


2. How to calculate the greatest common divisor of 357, 509, 338, 443?

We can find the highest common divisor of 357, 509, 338, 443 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 357, 509, 338, 443 i.e 1.


3. How can I use the GCD of 357, 509, 338, 443Calculator?

Out the numbers 357, 509, 338, 443 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.