Where do I get the detailed procedure to find GCD of 387, 755, 854?

You can find a detailed procedure to find GCD of 387, 755, 854 on our page.

How to find GCD of 387, 755, 854 on a calculator?

You can find the GCD of 387, 755, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.

GCD of 387, 755, 854 Calculator

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

Online GCD Calculator is useful to find the GCD of 387, 755, 854 quickly. Get the easiest ways to solve the greatest common divisor of 387, 755, 854 i.e 1 in different methods as follows.

How to Find GCD of Numbers 387, 755, 854 with Factoring?

Given Input numbers are 387, 755, 854

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

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

GCD of numbers is the greatest common divisor

So, the GCD (387, 755, 854) = 1.

Find GCD of 387, 755, 854 using Prime Factorization

Given numbers are 387, 755, 854

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 755 are 5 x 151

Prime factors of 854 are 2 x 7 x 61

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

Steps to Calculate GCD of 387, 755, 854 using LCM Formula

Given numbers are 387, 755, 854

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

Apply this formula for all numbers.

Step1:

LCM(387, 755) = 292185

GCD(387, 755) = ( 387 x 755 ) / 292185

= 387 / 755

= 387

Step2:

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

= 1 / 854

= 1

So, Greatest Common Divisor of 387, 755, 854 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 387, 755, 854

Given numbers are 387, 755, 854
The greatest common divisor of numbers 387, 755, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 755, 854 is 1.

FAQs on GCD of 387, 755, 854 Calculator

1. What is the GCD of 387, 755, 854?

GCD of given numbers 387, 755, 854 is 1

2. How to calculate the greatest common divisor of 387, 755, 854?

We can find the highest common divisor of 387, 755, 854 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 387, 755, 854 i.e 1.

3. How can I use the GCD of 387, 755, 854Calculator?

Out the numbers 387, 755, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.