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GCD of 385, 993, 288, 404 Calculator

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


Online GCD Calculator is useful to find the GCD of 385, 993, 288, 404 quickly. Get the easiest ways to solve the greatest common divisor of 385, 993, 288, 404 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 385, 993, 288, 404 with Factoring?

Given Input numbers are 385, 993, 288, 404

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

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404


GCD of numbers is the greatest common divisor

So, the GCD (385, 993, 288, 404) = 1.

Find GCD of 385, 993, 288, 404 using Prime Factorization

Given numbers are 385, 993, 288, 404

The list of prime factors of all numbers are

Prime factors of 385 are 5 x 7 x 11

Prime factors of 993 are 3 x 331

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 404 are 2 x 2 x 101

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

Steps to Calculate GCD of 385, 993, 288, 404 using LCM Formula

Given numbers are 385, 993, 288, 404

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

Apply this formula for all numbers.

Step1:

LCM(385, 993) = 382305

GCD(385, 993) = ( 385 x 993 ) / 382305

= 385 / 993

= 385


Step2:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1


Step3:

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

= 1 / 404

= 1


So, Greatest Common Divisor of 385, 993, 288, 404 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 385, 993, 288, 404

Given numbers are 385, 993, 288, 404
The greatest common divisor of numbers 385, 993, 288, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 385, 993, 288, 404 is 1.

FAQs on GCD of 385, 993, 288, 404 Calculator

1. What is the GCD of 385, 993, 288, 404?

GCD of given numbers 385, 993, 288, 404 is 1


2. How to calculate the greatest common divisor of 385, 993, 288, 404?

We can find the highest common divisor of 385, 993, 288, 404 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 385, 993, 288, 404 i.e 1.


3. How can I use the GCD of 385, 993, 288, 404Calculator?

Out the numbers 385, 993, 288, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.